Question

a=x^2(x+y)+y^2(x+y)+2x^2y+2xy^2

Answer 1

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

Answer 2

A = x²( x + y) + y²( x + y) + 2x²y + 2xy²

A = x²( x + y) + y²( x + y) + 2xy( x + y)

A = ( x + y)( x² + 2xy + y²)

A = ( x + y) ( x + y)²

A = ( x + y)³