1分解因式(1)(x²+y²)²-4x²y²(2)(x²-1)²+6(1-x²)+9

问题描述:

1分解因式(1)(x²+y²)²-4x²y²(2)(x²-1)²+6(1-x²)+9
2在三个整式x²+2xy,y²+2xy,x²中,任选两个进行加(减)运算,是所得证实可以因式分解,并进行分解.

1(x^2+y^2)^2-4x^2y;^2=(x^2+y^2-2xy)(x^2+y^2-2xy)=(x-y)^2(x+y)^2=[(x-y)(x+y)]^2=(x^2-y^2)^22 (x^2-1)^2+6(1-x^2)+9=(x^2-1)^2-6(x^2-1)+9=(x^2-1)^2-2×3(x^2-1)+3^2=(x^2-1-3)^2=...