What is factor x^2-2x+1-y^2 ?

The solution to factor x^2-2x+1-y^2 is (x-1+y)(x-1-y)

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factor x^2-2x+1-y^2

factor

x^{2} - 2 x + 1 - y^{2}

(x - 1 + y) (x - 1 - y)

Solution steps

x^{2} - 2 x + 1 - y^{2}

Factor

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

= (x - 1)^{2} - y^{2}

Apply Difference of Two Squares Formula:

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

(x - 1)^{2} - y^{2} = ((x - 1) + y) ((x - 1) - y)

= ((x - 1) + y) ((x - 1) - y)

Apply rule:

(a) = a

(x - 1) = x - 1

= (x - 1 + y) (x - 1 - y)

\frac{( ( x + y ) ^{3} - 2 y \cdot ( y + x ) ^{2} )}{( x ^{2} + y ^{2} )}

16 x^{3} \cdot y^{2} - 8 x^{4} \cdot y - 24 x^{2} \cdot y - 40 x^{2} \cdot y^{3}

4 + 5 (x)

8.25 m + 6 m - 2 m

\frac{1}{2} a - \frac{3}{4} a

What is factor x^2-2x+1-y^2 ?
The solution to factor x^2-2x+1-y^2 is (x-1+y)(x-1-y)