Question

a) y-x^2y-2xy^2-y^3

Answer 1

\(y-x^2y-2xy^2-y^3=y\left(1-x^2-2xy-y^2\right)=y\left[1-\left(x+y\right)^2\right]=y\left(1-x-y\right)\left(1+x+y\right)\)

Answer 2

\(y-x^2y-2xy^2-y^3\)

\(=y\left(1-x^2-2xy-y^2\right)\)

\(=y\left[1-\left(x^2+2xy+y^2\right)\right]\)

\(=y\left[1-\left(x+y\right)^2\right]\)

\(=y\left(1+x+y\right)\left(1-x-y\right)\)