Question

x³ - y³ -x² + y²

Answer 1

\(x^3-y^3-x^2+y^2=\left(x-y\right)\left(x^2+xy+y^2\right)-\left(x-y\right)\left(x+y\right)=\left(x-y\right)\left(x^2+xy+y^2-x-y\right)\)

Answer 2

\(=\left(x^3-y^3\right)-\left(x^2-y^2\right)\)
\(=\left(x-y\right)\left(x^2+xy+y^2\right)-\left(x-y\right)\left(x+y\right)=\left(x-y\right)\left(x^2+xy+y^2-x-y\right)\)