Question

разложите на множители x^3+2x^2-64y^3+32y^2+8xy

Answer 1

x^3+2x^2-64y^3+32y^2+8xy=x^3-64y^3+2(x^2+16y^2+4xy)=(x-y)(x^2+4xy+16y^2)+2((x^2+4xy+16y^2)=(x-y+2)(x^2+4xy+16y^2)