x^2+5x-xy-5y write in complete factored form?

x² + 5x - xy - 5y
(x² + 5x) - (xy + 5y)
factor
x(x + 5) - y(x + 5)
factor by grouping
(x - y)(x + 5)

x (x + 5) - y(x + 5)
(x - y) (x + 5)

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

x^2-5y+5x-xy = [ (x^2 + 5x) + (-xy-5y) ] = [ x(x+5) -y(x+5)] = (x+5)(x-y)

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