Question

这几道分解因式怎么做

Answer 1

3x²-8xy+9y²-4x+6y+13
=2x²-8xy+8y²+x²-4x+4+y²+6y+9
=2(x-2y)²+(x-2)²+(y-3)²
你这个题目好像有问题

x^6-10x^3+25
=(x³-5)²

a+b=x+y=2
ax+by=5
求（a²+b²)xy+(x²+y²)ab
a+b=x+y=2
x=2-y y=2-x
（a²+b²)xy+(x²+y²)ab
=a²xy+b²xy+abx²+aby²
=ay(ax+by)+bx(by+ax)
=(ax+by)(ay+bx)
=5[a(2-x)+b(2-y)]
=5(2a-ax+2b-by)
=5[2(a+b)-(ax+by)]
=5(4-5)
=-5

(x+y-2xy)(x+y-2)+(xy-1)²
=(x+y)²-2(x+y)-2xy(x+y）+4xy+x²y²-2xy+1
=(x+y)²-2(x+y)(xy+1)+(xy+1)²
=(x+y-xy-1)²