Question

x² + 5x - 2xy - 5y + y²

Answer 1

\(x^2+5x-2xy-5y+y^2\\ =\left(x^2-2xy+y^2\right)+5x-5y\\ =\left(x-y\right)^2+5\left(x-y\right)\\ =\left(x-y\right)\left(x-y+5\right)\)

Answer 2

\(x^2+5x-2xy-5y+y^2\)

\(=x^2-2xy+y^2+5x-5y\)

\(=\left(x^2-2xy+y^2\right)+5\left(x-y\right)\)

\(=\left(x-y\right)^2+5\left(x-y\right)\)

\(=\left(x-y\right)\left(x-y+5\right)\)