5x^2-5xy-10x+10y
(5x^2-5xy )-(10x-10y)
5x(x-y)-10(x-y)
(x-y)(5x-10)
a)\(x^2a-x^2b-y^2a+y^2b=x^2\left(a-b\right)-y^2\left(a-b\right)=\left(a-b\right)\left(x^2-y^2\right)=\left(a-b\right)\left(x-y\right)\left(x+y\right)\)
k) \(5x^2-5xy-10x+10y=5x\left(x-y\right)-10\left(x-y\right)=\left(x-y\right)\left(5x-10\right)\)
\(5x^2-5xy-10x+10y=5x\left(x-y\right)-10\left(x-y\right)=\left(x-y\right)\left(x-2\right)5\)