Question

将下列各式因式分解，高手进！！

1.8ax^3x^2-2a^5x^2
2.a^2(x-y)+4y^2(y-x)
3.4a^2b^2-(a^2+b^2)^2
4.(x^2+4)^2-(2x+3)^2

Answer 1

1. 原式=2ax²(4x^3-a^4)

2. 原式=(x-y)(a²-4y²)=(x-y)(a+2y)(a-2y)

3. 原式=4a²b²-a^4-b^4-2a²b²=-(a^4-2a²b²+b^4)=-(a²-b²)²=-(a+b)²(a-b)²

4. 原式=(x²+4+2x+3)(x²+4-2x-3)=(x²+2x+7)(x²-2x+1)=(x-1)²(x²+2x+7)