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

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

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

factor

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

(2 a + x - 2) (2 a - x + 2)

Solution steps

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

Rewrite

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

(2 a)^{2} - (x - 2)^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Refine

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

x^{2} + 5 b x - 2 a x - 10 ab

9 x^{2} - 4 y^{2}

2 e + 6

121

\frac{d}{d x} (5 x - 5 y)

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