Question

9到因式分解！麻烦回答下，谢谢！！！！

(1)(x+y)²-（x+y）²
(2)1/2 x的5次方-8x
(3)a的三次方（a-b）²-a（a+b）²
(4)4x²-9y²-(2x+3y)
(5)101²-99²
(6)13²×9-12²×9
(7)1001/2003²-2001²
(8)x²y²-9
(9)(x²-y²)(x+y)-(x-y)的三次方

Answer 1

(1)(x+y)²-（x+y）²=0
(2)1/2 x的5次方-8x=1/2x(x^4-16)=1/2x(x²+4)(x²-4)=1/2x(x²+4)(x+2)(x-2)
(3)a的三次方（a-b）²-a（a+b）²=a[a²(a-b)²-(a+b)²]=a[a(a-b)+(a+b)][a(a-b)-(a+b)]
=a(a²-ab+a+b)(a²-ab-a-b)
(4)4x²-9y²-(2x+3y)=(2x+3y)(2x-3y)-(2x+3y)=(2x+3y)(2x-3y-1)
(5)101²-99²=(101+99)(101-99)=200×2=400
(6)13²×9-12²×9=9×(13²-12²)=9×(13+12)×(13-12)=9×25×1=225
(7)1001/2003²-2001²=1001/[(2003+2001)×(2003-2001)]=1001/(4004×2)=1/8
(8)x²y²-9=(xy)²-3²=(xy+3)(xy-3)
(9)(x²-y²)(x+y)-(x-y)的三次方=(x-y)(x+y)(x+y)-(x-y)³=(x-y)[(x+y)²-(x-y)²]=4xy(x-y)

Answer 2

1. 0(n你抄错题了吧？)
2.1/2x(x+2)(x-2)(x^2+4)
3.a(a^2-ab+a+b)(a^2-ab-a-b)什么意思？看不懂
4.（2x+3y）（2x-3y-1）
5.(101-99)(101+99)=400
6.9×(13²-12²)=9×(13+12)(13-12)=9×25=225
7.1001/(2003-2001)(2003+2001)=1/8
8.(xy-3)(xy+3)
9.4xy(x-y)
哥，你太有才了，中英文结合，我都看不懂。顺便问一下，这是老师留的作业吧？