Question

উৎপাদকে বিশ্লেষণ কর: $p^3-\frac{1}{64}$

Answer 1

$p^3-\frac{1}{64}$

$=p^3-\left(\frac{1}{4}\right)^3$

$=\left(p-\frac{1}{4}\right)\left\lbrace p^2+p\cdot\frac14+\left(\frac14\right)^2\right\rbrace$

$=\left(p-\frac{1}{4}\right)\left(p^2+\frac{p}{4}+\frac{1}{16}\right)$ [Answer]

Comments

Rules Applied:

• $a^3-b^3=(a-b)(a^2+ab+b^2)$