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

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

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factor x+x^2-x*y^2-y^2

factor

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

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

Solution steps

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

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

Factor out

x

from

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

Factor out

- y^{2}

from

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

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

Factor out common term

x + 1

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

\frac{7 x ^{3} - 9 x ^{2} - 10 x}{6 x ^{2} - 15 x + 6}

(1 + d)^{- 1}

(x - 3)^{13} + (x - 3^{2})^{13}

\frac{1}{( x - 5 )} + \frac{2}{( x + 2 )}

\frac{1}{( a + b )}

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