Question

উৎপাদকে বিশ্লেষণ কর: $p^4+p^2+1$

Answer 1

$p^4+p^2+1$

$=p^4+2p^2+1-p^2$

$=\left\lbrace\left(p^2\right)^2+2\cdot p^2\cdot1+1^2\right\rbrace-p^2$

$=\left(p^2+1\right)^2-p^2$

$=\left\lbrace\left(p^2+1\right)+p\right\rbrace\left\lbrace\left(p^2+1\right)-p\right\rbrace$

$=\left(p^2+1+p\right)\left(p^2+1-p\right)$ [Answer]

Comments

Rules Applied:

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