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

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

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factor x^2y-2xy+x^2+2y-2x+2

factor

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

(2 + x (- 2 + x)) (y + 1)

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} = xx

= xx y - 2 x y + xx + 2 y - 2 x + 2

Factor out common term

y x

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

Factor out common term

y

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} = xx

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

Factor out common term

x

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

Rewrite as

= (2 + (- 2 + x) x) y + 1 \cdot (2 + (- 2 + x) x)

Factor out common term

(2 + (- 2 + x) x)

= (2 + (- 2 + x) x) (y + 1)

[(x - 5 y) + z] [(x - 5 y) - z]

[8]

[- 11]

3 x^{2} - 5 x - 2 x^{2} - 4

\frac{x ^{2} - 9}{x - 3}

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