Question

25a4 + 76a2b2 + 64b4
resolve into factors please explain step by step​

Answer 1

Answer:

see the attachment

Step-by-step explanation:

Answer 2

following are the step for getting the answer:

Given:

$25a^4+76a^2b^2+64b^4$

to find:

$25a^4+76a^2b^2+64b^4$=?

solution:

we know that,

a²+2ab+b²=(a+b)²

it will be written as

(5a²)²+76a²b²+(8b²)²

so,

(5a²)²+76a²b²+(8b²)²

=[(5a)²+(8b²)]²

=[(5a)²+(8b²)][(5a)²+(8b²)]

Hence, the factor of $25a^4+76a^2b^2+64b^4$ is [(5a)²+(8b²)][(5a)²+(8b²)]