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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)$

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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)$

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$(x+y)(x^2-xy+y^2)$$+(y+z)(y^2-yz+z^2)$$+(z+x)(z^2-zx+x^2)$

$=(x^3+y^3)+(y^3+z^3)$$+(z^3+x^3)$

$=x^3+y^3+y^3+z^3$$+z^3+x^3$

$=2x^3+2y^3+2z^3$ [Answer]

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