Question

因式分解（要过程详细！）

第二个怎么做？
第二题

Answer 1

（2）原式=x^5+y^5-x^4·y-xy^4
=(x^5-x^4·y)+(y^5-xy^4)
=x^4·(x-y)+y^4·(y-x)
=x^4·(x-y)-y^4·(x-y)
=(x-y)(x^4-y^4)
=(x-y)(x²+y²)(x²-y²)
=(x-y)(x²+y²)(x+y)(x-y)
=(x-y)²(x²+y²)(x+y)

Answer 2

2、
x^5+y^5-(x^4y+xy^4)
=x^5-x^4y+y^5-xy^4
=x^4(x-y)-y^4(x-y)
=(x-y)(x^4-y^4)
=(x-y)(x^2+y^2)(x^2-y^2)
=(x^2+y^2)(x+y)(x-y)^2
3、
（a+b)(a-b)+4(b-1)
=a^2-b^2+4b-4
=a^2-(b-2)^2
=(a+b-2)(a-b+2)

Answer 3