What is factor x^2-xy+x-xy^2+y^3-y^2 ?

The solution to factor x^2-xy+x-xy^2+y^3-y^2 is (x-y+1)(x-y^2)

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factor x^2-xy+x-xy^2+y^3-y^2

factor

x^{2} - x y + x - x y^{2} + y^{3} - y^{2}

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

Solution steps

x^{2} - x y + x - x y^{2} + y^{3} - y^{2}

= (x^{2} - x y + x) + (y^{3} - x y^{2} - y^{2})

Factor out

x

from

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

Factor out

y^{2}

from

y^{3} - x y^{2} - y^{2} : y^{2} (y - x - 1)

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

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

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

Factor out common term

x - y + 1

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

3 w < 9

\frac{\frac{5}{13}}{\frac{12}{13}}

\frac{5 x y}{35 y}

\frac{2}{5} - \frac{3}{10}

5 (y - 3) = 30

What is factor x^2-xy+x-xy^2+y^3-y^2 ?
The solution to factor x^2-xy+x-xy^2+y^3-y^2 is (x-y+1)(x-y^2)