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

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

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factor 25x^2-9a^2

factor

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

(5 x + 3 a) (5 x - 3 a)

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

(b^{x} - 3) (b^{x} + 8)

4 x^{6} - 24 x^{3} y + 36 y^{2}

(5 r - 23) 3 - (5 r + 23)

x^{3} + 2197

- 5 m + 5 m