Question

Factorize the following expression:

$x^2-625$

Answer 1

Given:$x^4-625$

$\therefore x^4-625$

Using the formula,$(a^2-b^2)=(a-b)(a+b)$

$=(x^2+25)(x^2-25)$

$=(x^2+25)(x^2-5^2)$

$=(x^2+25)(x+5)(x-5)$

Hence, $x^4-625=(x^2+25)(x+5)(x-5)$.