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

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

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

factor

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

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

Solution steps

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

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

Factor out

x^{2}

from

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

Factor out

y^{2}

from

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

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

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

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

Factor out common term

x - 1

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

Factor

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

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

\frac{5 ( 2 x - 3 ) - 3 ( x + 4 )}{9}

\frac{2 cos ( x )}{sin ^{2} ( x )}

a^{3} + 9 b^{3} + (a + b)^{3}

(p + q)^{3} - p - q

\frac{( 1 - sec ^{2} ( x ) )}{( 1 - csc ^{2} ( x ) )}

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