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

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

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

factor

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

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

Solution steps

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

Factor

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

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

Simplify

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

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

Apply Difference of Two Squares Formula:

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

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

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

Apply rule:

(a) = a

(x - 2) = x - 2

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

\frac{1}{8} + 2

- x > 10

(- 3 + 4) - 2 x = 2 (3 x - 1)

∣ 12 - 4 x ∣ \leq 3

k^{2} + 16 k + 42 = 28

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