Question

উৎপাদকে বিশ্লেষণ কর: $a^4-27a^2+1$

Answer 1

$a^4-27a^2+1$

$=a^4-2a^2+1-25a^2$

$=(a^2)^2-2 \cdot a^2 \cdot 1 + 1^2 -25a^2$

$=(a^2 - 1)^2 -(5a)^2$

$=\{(a^2 - 1) + 5a\}\{(a^2 - 1) - 5a\}$

$=(a^2 - 1 + 5a)(a^2 - 1 - 5a)$

$=(a^2 + 5a - 1)(a^2 - 5a - 1)$ [Answer]

Comments

Rules Applied:

• $a^2-2ab+b^2=(a-b)^2$
• $a^2-b^2=(a+b)(a-b)$