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

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

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

factor

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

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

Solution steps

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

Factor

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

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

Simplify

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

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

Apply Difference of Two Squares Formula:

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

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

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

Apply rule:

(a) = a

(y - 2) = y - 2

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

55 x^{2} - 3 x + 2582 x^{2} - 9 x^{2} l

\frac{3 a ^{83} b ^{5}}{99}

(2 x + 1)^{3} + (x - 3)^{3}

64 z^{3} + 125

(a + b)^{4} + 4

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