What is factor 9y^2-25x^2 ?

The solution to factor 9y^2-25x^2 is (3y+5x)(3y-5x)

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factor 9y^2-25x^2

factor

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

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

Solution steps

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

9 y^{2} = (3 y)^{2}

25 x^{2} = (5 x)^{2}

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

= (3 y + 5 x) (3 y - 5 x)

x^{2} + 10 x + 42 = - 3 x

18 x^{2} y - 24 x^{2} - 12 y + 16

- 2 x^{2} + 4 x - 1 = 0

6 x - 2 (x + 9) = 2

(5^{3} x^{2} y^{4})^{0}