factor 9y^2-25x^2 — step-by-step solution

Let's factor in

ℝ

9 y^{2} - 25 x^{2}

We recognize a difference of two squares:

{(3 y)}^{2} - {(5 x)}^{2}

. Apply

a^{2} - b^{2} = (a - b) \cdot (a + b)

, with

a = 3 y

and

b = 5 x

This expression can be factorized into:

(3 y - 5 x) \cdot (3 y + 5 x)

▶Factored expression:

(3 y - 5 x) \cdot (5 x + 3 y)