Question

разложение на множители m^6n^2-(m-n)^2, x^4y^2-(a^2-b^2)

Answer 1

$m^6n^2-(m-n)^2=(m^3n)^2-(m-n)^2= \\ =(m^3n-(m-n))*(m^3n+(m-n))=\\=(m^3n-m+n)*(m^3n+m-n) ;\\ x^4y^2-(a^2-b^2)^2=(x^2y)^2-(a^2-b^2)^2= \\ =(x^2y-(a^2-b^2))*(x^2y+(a^2-b^2))= \\ =(x^2y-a^2+b^2)*(x^2y+a^2-b^2)$