1、5a²-4a-5b²+4b2、3a-ax-3b+bx3、6a²-35xy+10ay-21ax4、x²+2x-y²+2y5、3a²-2b+6ab-a6、1-x²-y²+2xy

Question

1、 5a²-4a-5b²+4b
2、 3a-ax-3b+bx
3、 6a²-35xy+10ay-21ax
4、 x²+2x-y²+2y
5、3a²-2b+6ab-a
6、1-x²-y²+2xy

Answer 1

1、 5a²-4a-5b²+4b
=5a²-5b²-4a+4b
=5(a²-b²)-4(a-b)
=5(a-b)(a+b)-4(a-b)
=(a-b)[5(a+b)-4]
=(a-b)(5a+5b-4)
2、 3a-ax-3b+bx
= 3a-3b-ax+bx
=3(a-b)-x(a-b)
=(3-x)(a-b)
3、 6a²-35xy+10ay-21ax
=6a²-21ax+10ay-35xy
=3a(2a-7x)+5y(2a-7x)
=(3a+5y)(2a-7x)
4、 x²+2x-y²+2y
= x²-y²+2x+2y
=(x-y)(x+y)+2(x+y)
=(x+y)(x-y+2)
5、3a²-2b+6ab-a
=3a²+6ab-a-2b
=3a(a+2b)-(a+2b)
=(3a-1)(a+2b)
6、1-x²-y²+2xy
=1-(x²+y²-2xy)
=1-(x-y)²
=(1-x+y)(1+x-y)