因式分解X5+Y5-(X4Y+XY4)
问题描述:
因式分解X5+Y5-(X4Y+XY4)
答
原式=x5+y5-x4y-xy4
=(x5-x4y)+(y5-xy4) 这步可省略
=x4(x-y)+y4(y-x)
=x4(x-y)-y4(x-y)
=(x-y)(x4-y4)
=(x-y)(x2-y2)(x2+y2)
=(x-y)(x2+y2)(x+y)(x-y)
OK了,我写的比较详细,你可以按自己的想法省略一部分~