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

The solution to factor x^2-(x+2y)^2 is -4y(x+y)

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

factor

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

- 4 y (x + y)

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

= (x + (x + 2 y)) (x - (x + 2 y))

Simplify

(x + (x + 2 y)) (x - (x + 2 y)) : - (2 x + 2 y) \cdot 2 y

= - (2 x + 2 y) \cdot 2 y

= - 2 y (2 x + 2 y)

Factor

2 x + 2 y : 2 (x + y)

= - 2 y \cdot 2 (x + y)

Multiply the numbers:

- 2 \cdot 2 = - 4

= - 4 y (x + y)

x^{2} + 2 x - 3 \leq 0

a - 7 < 5 - 3 a

3 x + 5 \leq 5 x + 6 < 5 x + 10

\frac{6 x - 1}{2} = 1

s^{2} + 5 s + 6 = 0