What is factor 4x^2-(x+y)^2 ?

The solution to factor 4x^2-(x+y)^2 is (3x+y)(x-y)

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factor 4x^2-(x+y)^2

factor

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

(3 x + y) (x - y)

Solution steps

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

Simplify

4 x^{2} : (2 x)^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

10 x^{2} - 56 = 88 - 6 x^{2}

(\frac{1}{2 x + 1})^{2}

x^{2} + 5 x + 8 = 0

- 4 x < - 12

\frac{v ^{2} - u ^{2}}{u - v}

What is factor 4x^2-(x+y)^2 ?
The solution to factor 4x^2-(x+y)^2 is (3x+y)(x-y)