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

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

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

factor

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

(3 x + 2) (x - 2)

Solution steps

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

Simplify

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

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

(1 + 2 i) (5 + 3 i) (4 + i)

2 x^{3} \cdot 2 x

2 x^{3} \cdot 3 x

(- 6) (4)

2 (x - 3) - 3 (x^{2} + 2 x - 4)

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