a= m*(m-n) b=n*(m-n) Сравните a и b

Question

a= m*(m-n) b=n*(m-n) Сравните a и b

Answer 1

а=m(m-n)=m2-mn

b=n(m-n)=mn-n2

a-b=(m2-mn)-(mn-n2)=m2 - 2mn + n2 = (m-n)^2

a-b=(m-n)^2