Question

Answer 1

\(a,x^2+xy=x\left(x+y\right)\)

\(b,x^3-x^2y-4x+4y=x^2\left(x-y\right)-4\left(x-y\right)=\left(x^2-4\right)\left(x-y\right)=\left(x-2\right)\left(x+2\right)\left(x-y\right)\)

Answer 2

\(x^2+xy=xx+xy=x\left(x+y\right)\)
\(x^3-x^2y-4x+4y=x^2\left(x-y\right)-4\left(x-y\right)\)
                               \(=\left(x-2\right)\left(x+2\right)\left(x-y\right)\)