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<title>QnA fy - Recent questions tagged ঘন সংবলিত</title>
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<description>Powered by Question2Answer</description>
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<title>$x+\frac{2}{x}=3$ হলে, $x^3+\frac{8}{x^3}$ এর মান কত?</title>
<link>https://qnafy.com/14826/%24x-frac-2-x-3%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24x-3-frac-8-x-3-%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%A4</link>
<category>Algebra</category>
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<pubDate>Sun, 20 Jul 2025 16:09:10 +0000</pubDate>
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<title>$x^4-x^2+1=0$ হলে, $x^3+\frac{1}{x^3}$ এর মান কত?</title>
<link>https://qnafy.com/14819/%24x-4-x-2-1-0%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24x-3-frac-1-x-3-%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%A4</link>
<category>Algebra</category>
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<pubDate>Sun, 20 Jul 2025 15:54:23 +0000</pubDate>
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<title>সূত্রের সাহায্যে ঘন নির্ণয় কর: $2x^2+3y^2$</title>
<link>https://qnafy.com/14452/%E0%A6%B8%E0%A7%82%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%98%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0-%242x-2-3y-2%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:40:56 +0000</pubDate>
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<title>সূত্রের সাহায্যে ঘন নির্ণয় কর: $7m^2-2n$</title>
<link>https://qnafy.com/14451/%E0%A6%B8%E0%A7%82%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%98%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0-%247m-2-2n%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:40:29 +0000</pubDate>
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<title>সূত্রের সাহায্যে ঘন নির্ণয় কর: $2a-b-3c$</title>
<link>https://qnafy.com/14450/%E0%A6%B8%E0%A7%82%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%98%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0-%242a-b-3c%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:40:03 +0000</pubDate>
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<title>ঘন-এর সাহায্যে সরল কর: $(7x+3b)^3$$-(5x+3b)^3$$-6x(7x+3b)(5x+3b)$</title>
<link>https://qnafy.com/14449/%E0%A6%98%E0%A6%A8-%E0%A6%8F%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%B8%E0%A6%B0%E0%A6%B2-%E0%A6%95%E0%A6%B0-%24-7x-3b-3%24%24-5x-3b-3%24%24-6x-7x-3b-5x-3b-%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:38:55 +0000</pubDate>
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<title>ঘন-এর সাহায্যে সরল কর: $(a+b+c)^3$$-(a-b-c)^3$$-6(b+c)\left\{a^2-(b+c)^2\right\}$</title>
<link>https://qnafy.com/14448/%E0%A6%98%E0%A6%A8-%E0%A6%8F%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%B8%E0%A6%B0%E0%A6%B2-%E0%A6%95%E0%A6%B0-%24-a-b-c-3%24%24-a-b-c-3%24%24-6-b-c-left-a-2-b-c-2-right-%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:36:55 +0000</pubDate>
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<title>ঘন-এর সাহায্যে সরল কর: $(m+n)^6$$-(m-n)^6$$-12mn(m^2-n^2)^2$</title>
<link>https://qnafy.com/14447/%E0%A6%98%E0%A6%A8-%E0%A6%8F%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%B8%E0%A6%B0%E0%A6%B2-%E0%A6%95%E0%A6%B0-%24-m-n-6%24%24-m-n-6%24%24-12mn-m-2-n-2-2%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:35:03 +0000</pubDate>
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<title>ঘন-এর সাহায্যে সরল কর: $(x+y)(x^2-xy+y^2)$$+(y+z)(y^2-yz+z^2)$$+(z+x)(z^2-zx+x^2)$</title>
<link>https://qnafy.com/14446/%E0%A6%98%E0%A6%A8-%E0%A6%8F%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%B8%E0%A6%B0%E0%A6%B2-%E0%A6%95%E0%A6%B0-%24-x-y-x-2-xy-y-2-%24%24-y-z-y-2-yz-z-2-%24%24-z-x-z-2-zx-x-2-%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:33:18 +0000</pubDate>
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<title>ঘন-এর সাহায্যে সরল কর: $(2x+3y-4z)^3$$+(2x-3y+4z)^3$$+12x\left\{4x^2-(3y-4z)^2\right\}$</title>
<link>https://qnafy.com/14445/%E0%A6%98%E0%A6%A8-%E0%A6%8F%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%B8%E0%A6%B0%E0%A6%B2-%E0%A6%95%E0%A6%B0-%24-2x-3y-4z-3%24%24-2x-3y-4z-3%24%24-12x-left-4x-2-3y-4z-2-right-%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:31:00 +0000</pubDate>
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<title>$a-b=5$ এবং $ab=36$ হলে, $a^3-b^3$ এর মান কত?</title>
<link>https://qnafy.com/14444/%24a-b-5%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24ab-36%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24a-3-b-3%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%A4</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:28:20 +0000</pubDate>
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<title>যদি $a^3-b^3=513$ এবং $a-b=3$ হয়, তবে $ab$ এর মান কত?</title>
<link>https://qnafy.com/14443/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-3-b-3-513%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24a-b-3%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%24ab%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%A4</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:27:14 +0000</pubDate>
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<title>$x=19$ এবং $y=-12$ হলে, $8x^3+36x^2y+54xy^2+27y^3$ এর মান নির্ণয় কর।</title>
<link>https://qnafy.com/14442/%24x-19%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24y-12%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%248x-3-36x-2y-54xy-2-27y-3%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:25:45 +0000</pubDate>
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<title>যদি $a=15$ হয়, তবে $8a^3+60a^2+150a+130$ এর মান কত?</title>
<link>https://qnafy.com/14441/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-15%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%248a-3-60a-2-150a-130%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%A4</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:23:56 +0000</pubDate>
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<title>যদি $a+b=m$, $a^2+b^2=n$ এবং $a^3+b^3=p^3$ হয়, তবে দেখাও যে, $m^3+2p^3=3mn$</title>
<link>https://qnafy.com/14440/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-m%24-%24a-2-b-2-n%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24a-3-b-3-p-3%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24m-3-2p-3-3mn%24</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:22:15 +0000</pubDate>
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<item>
<title>$a+b=3$ এবং $ab=2$ হলে, (ক) $a^2-ab+b^2$ এবং (খ) $a^3+b^3$ এর মান নির্ণয় কর।</title>
<link>https://qnafy.com/14439/%24a-b-3%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24ab-2%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%95-%24a-2-ab-b-2%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%E0%A6%96-%24a-3-b-3%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:19:54 +0000</pubDate>
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<item>
<title>$a-b=5$ এবং $ab=36$ হলে, (ক) $a^2+ab+b^2$ এবং (খ) $a^3-b^3$ এর মান নির্ণয় কর।</title>
<link>https://qnafy.com/14438/%24a-b-5%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24ab-36%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%95-%24a-2-ab-b-2%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%E0%A6%96-%24a-3-b-3%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:18:02 +0000</pubDate>
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<item>
<title>$m+\frac1m=a$ হলে, $m^3+\frac{1}{m^3}$ এর মান নির্ণয় কর।</title>
<link>https://qnafy.com/14437/%24m-frac1m-a%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24m-3-frac-1-m-3-%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 13:05:13 +0000</pubDate>
</item>
<item>
<title>$x-\frac1x=p$ হলে, $x^3-\frac{1}{x^3}$ এর মান নির্ণয় কর।</title>
<link>https://qnafy.com/14436/%24x-frac1x-p%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24x-3-frac-1-x-3-%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4</link>
<category>Algebra</category>
<guid isPermaLink="true">https://qnafy.com/14436/%24x-frac1x-p%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24x-3-frac-1-x-3-%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4</guid>
<pubDate>Mon, 07 Jul 2025 13:04:11 +0000</pubDate>
</item>
<item>
<title>যদি $a-\frac1a=1$ হয়, তবে দেখাও যে, $a^3-\frac{1}{a^3}=4$</title>
<link>https://qnafy.com/14435/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-frac1a-1%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24a-3-frac-1-a-3-4%24</link>
<category>Algebra</category>
<guid isPermaLink="true">https://qnafy.com/14435/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-frac1a-1%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24a-3-frac-1-a-3-4%24</guid>
<pubDate>Mon, 07 Jul 2025 13:02:47 +0000</pubDate>
</item>
<item>
<title>যদি $a+b+c=0$ হয়, তবে নিচের সত্যতাগুলো দেখাও:</title>
<link>https://qnafy.com/14434/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-c-0%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%A8%E0%A6%BF%E0%A6%9A%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%A4%E0%A7%8D%E0%A6%AF%E0%A6%A4%E0%A6%BE%E0%A6%97%E0%A7%81%E0%A6%B2%E0%A7%8B-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93</link>
<category>Algebra</category>
<guid isPermaLink="true">https://qnafy.com/14434/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-c-0%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%A8%E0%A6%BF%E0%A6%9A%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%A4%E0%A7%8D%E0%A6%AF%E0%A6%A4%E0%A6%BE%E0%A6%97%E0%A7%81%E0%A6%B2%E0%A7%8B-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93</guid>
<pubDate>Mon, 07 Jul 2025 12:59:28 +0000</pubDate>
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<item>
<title>$p-q=r$ হলে, দেখাও যে, $p^3-q^3-r^3=3pqr$</title>
<link>https://qnafy.com/14433/%24p-q-r%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24p-3-q-3-r-3-3pqr%24</link>
<category>Algebra</category>
<guid isPermaLink="true">https://qnafy.com/14433/%24p-q-r%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24p-3-q-3-r-3-3pqr%24</guid>
<pubDate>Mon, 07 Jul 2025 12:56:01 +0000</pubDate>
</item>
<item>
<title>$2x-\frac{2}{x}=3$ হলে, দেখাও যে, $8\left(x^3-\frac{1}{x^3}\right)=63$</title>
<link>https://qnafy.com/14432/%242x-frac-2-x-3%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%248-left-x-3-frac-1-x-3-right-63%24</link>
<category>Algebra</category>
<guid isPermaLink="true">https://qnafy.com/14432/%242x-frac-2-x-3%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%248-left-x-3-frac-1-x-3-right-63%24</guid>
<pubDate>Mon, 07 Jul 2025 12:53:15 +0000</pubDate>
</item>
<item>
<title>$a=\sqrt6+\sqrt5$ হলে, $\frac{a^6-1}{a^3}$ এর মান নির্ণয় কর।</title>
<link>https://qnafy.com/14431/%24a-sqrt6-sqrt5%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24-frac-a-6-1-a-3-%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4</link>
<category>Algebra</category>
<guid isPermaLink="true">https://qnafy.com/14431/%24a-sqrt6-sqrt5%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24-frac-a-6-1-a-3-%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4</guid>
<pubDate>Mon, 07 Jul 2025 12:51:18 +0000</pubDate>
</item>
<item>
<title>$x-\frac{1}{x}=\sqrt3$ যেখানে $x\neq0$ হলে, নিচের প্রশ্নগুলোর উত্তর দাও।</title>
<link>https://qnafy.com/14430/%24x-frac-1-x-sqrt3%24-%E0%A6%AF%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%A8%E0%A7%87-%24x-neq0%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A8%E0%A6%BF%E0%A6%9A%E0%A7%87%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%B6%E0%A7%8D%E0%A6%A8%E0%A6%97%E0%A7%81%E0%A6%B2%E0%A7%8B%E0%A6%B0-%E0%A6%89%E0%A6%A4%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A6%E0%A6%BE%E0%A6%93%E0%A5%A4</link>
<category>Algebra</category>
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<pubDate>Mon, 07 Jul 2025 12:48:33 +0000</pubDate>
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