Question

What is the completely factored form of 25x4 – 16y2?

(5x4 4y)(5x – 4y)


(5x3 4y)(5x2 – 4y)


(5x2 4y)(5x2 – 4y)


25x4 – 16y2

Answer 1

c. (5x2 4y)(5x2-4y)

Explanation:

Just did the assignment

Answer 2

`(5x^2+4y)(5x^2-4y)`

Explanation:

`25x^4-16y^2` has the form
`a^2-b^2` known as a difference of squares. It factors into (a+b)(a-b). To find a and b you take the square root.

`√(25x^4) =5x^2`

`√(16y^2) =4y`

The factored for is (a+b)(a-b).

In this case, it is
`(5x^2+4y)(5x^2-4y)`