(a(a+b)-b(a+b) factorizacion
\(\left(a\left(a+b\right)-b\left(a+b\right)\right)\)We take:\(a\left(a+b\right)\)And aply the law of the exponents:\(=a^2+ab\)we do the same process at the other side and we get:\(=a^2+ab-ab-b^2\)Now:\(+ab-ab=0\)So we get that:\(=a^2-b^2\)