How do you factor the binomial 25x2-36y2?

Answer 1

25x2 - 36y2If you notice that 25 and 36 are perfect squares, you know that your answer would be like the following:

(5_ + 6_)(5_ - 6_)

because 25x2 - 36y2 is a perfect square binomial, so their square roots fit that way. This only works if the middle sign is minus.

From there, you just plug in the x's and y's to get:

(5x + 6y)(5x - 6y)