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

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

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

factor

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

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

Solution steps

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

Factor

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

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

1 0^{\frac{1}{2}} \cdot 1 0^{\frac{1}{4}}

x \cdot y^{4} - x^{3}

(0.2 + 0.4 y) (0.2 x - 0.4 y)

4^{k - 3} \cdot 4^{4 - k}

4 u^{2} + 8 u

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