Question

Factorize the following by using a suitable identity 2a5-54a2

Answer 1

Answer:

The answer is $2a^2(a-3)(a^2+3a+9)$

Step-by-step explanation:

 $2a^5-54a^2$, given expression

$=2a^2(a^3)-2a^2(27)$

$=2a^2(a^3-3^3)$

$=2a^2[(a-3)(a^2+3^2+3a)]$, using $a^3-b^3=(a-b)(a^2+b^2+ab)$

$=2a^2(a-3)(a^2+3a+9)$