Question

Представьте в виде произведения многочлен: 1) 2x^3-2xy^2-8x^2+8y^2 2) 5a^2-5b^2-15a^3b+15ab^3 3) a^2b^2-1-b^2+a^2

Answer 1

2x^3-2xy^2-8x^2+8y^2 =2x²(х-4)-2у²(х-4) =(х-4)(2х²-2у²)=2(х-4)(х²-у²)=

=2(х-4)*х-у)*(х+у)

5a^2-5b^2-15a^3b+15ab^3=5(a²-b²)-15ab(a²-b²)=(a²-b²)(5-15ab)=

=5(a-b)(a+b)(1-3ab)

a^2b^2-1-b^2+a^2 =b²(a²-1)+(a²-1)=(a²-1)(b²+1)=(a-1)(a+1)(b²+1)