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

The solution to factor (x-2)^2-(x+3)^2 is -5(2x+1)

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

factor

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

- 5 (2 x + 1)

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

((x - 2) + (x + 3)) ((x - 2) - (x + 3)) : - (2 x + 1) \cdot 5

= - (2 x + 1) \cdot 5

= - 5 (2 x + 1)

(0.04)^{3}

4 a^{2} + 13 a + 3

66 = \frac{h}{2} (4 \cdot 7)

5 x^{2} + 13 x - 6 = 0

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

What is factor (x-2)^2-(x+3)^2 ?
The solution to factor (x-2)^2-(x+3)^2 is -5(2x+1)