Question

Разложите на множители,#430

Answer 1

$a^2+4b^2-9c^2-4ab=(a62-4ab+4b^2)-9c62=(a-2b)^2-9c^2=\\ =(a-2b-3c)(a-2b+3c)\\\\ x^3+x^2-xy^2-y^2=(x^3+x^2)-(xy^2+y^2)=x^2(x+1)-y^2(x+1)=\\ =(x^2-y^2)(x+1)=(x-y)(x+y)(x+1)$