(x-1)+b2(1-x) x3-xy2 3x2-3 (x+p)2-(x+q)2如何分解因式

问题描述:

(x-1)+b2(1-x) x3-xy2 3x2-3 (x+p)2-(x+q)2如何分解因式

“热心网友”的回答错误,正确答案如下:
(1)(x-1)+b²)(1-x)=(x-1)(1-b²)=(x-1)(1-b)(1+b)
(2)x^3-xy²=x(3x²-y²)=x(√3 x-y)(√3 x+y) (说明:3在根号内)
(3)3x²-3=3(x²-1)=3(x-1)(x+1)
(4)(x+p)²-(x+q)²=](x+p)-(x+q)][(x+p)+(x+q)]=(p-q)(2x+p+q)