What is factor (2x-3)^2-(2x+3)^2 ?

The solution to factor (2x-3)^2-(2x+3)^2 is -24x

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factor (2x-3)^2-(2x+3)^2

factor

(2 x - 3)^{2} - (2 x + 3)^{2}

- 24 x

Solution steps

(2 x - 3)^{2} - (2 x + 3)^{2}

Apply Difference of Two Squares Formula:

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

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

= ((2 x - 3) + (2 x + 3)) ((2 x - 3) - (2 x + 3))

Simplify

((2 x - 3) + (2 x + 3)) ((2 x - 3) - (2 x + 3)) : - 24 x

= - 24 x

y^{2} - 7 y - 8

8 x^{2} - 22 x + 9

(b - c)^{3} + (c - a)^{3} + (a - b)^{3}

- 3 x^{2} + 12 x - 9 = 0

2 x^{2} + 5 x + 3 < 0

What is factor (2x-3)^2-(2x+3)^2 ?
The solution to factor (2x-3)^2-(2x+3)^2 is -24x