What is factor 9x^2-64y^2 ?

The solution to factor 9x^2-64y^2 is (3x+8y)(3x-8y)

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factor 9x^2-64y^2

factor

9 x^{2} - 64 y^{2}

(3 x + 8 y) (3 x - 8 y)

Solution steps

9 x^{2} - 64 y^{2}

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

64 y^{2} = (8 y)^{2}

= (3 x)^{2} - (8 y)^{2}

Apply Difference of Two Squares Formula:

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

(3 x)^{2} - (8 y)^{2} = (3 x + 8 y) (3 x - 8 y)

= (3 x + 8 y) (3 x - 8 y)

24 x + 48 y

a^{2} (a^{3}) (a^{6})

- 5 x \geq 17400

2 x^{2} + 9 x - 1 > 0

(x + 4)^{2}