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

Answer:

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

Step-by-step 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.

$\sqrt{25x^4} =5x^2$

$\sqrt{16y^2} =4y$

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

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

Answer 2

Answer:

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

Step-by-step explanation:

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