Answer:
[tex](5x^2+4y)(5x^2-4y)[/tex]
Step-by-step explanation:
[tex]25x^4-16y^2[/tex] has the form [tex]a^2-b^2[/tex] known as a difference of squares. It factors into (a+b)(a-b). To find a and b you take the square root.
[tex]\sqrt{25x^4} =5x^2[/tex]
[tex]\sqrt{16y^2} =4y[/tex]
The factored for is (a+b)(a-b).
In this case, it is [tex](5x^2+4y)(5x^2-4y)[/tex]
