问几道数学题!!!因式分解和简便计算的!再线等!!

来源:百度知道 编辑:UC知道 时间:2024/05/08 20:07:43
问几道题
1. 1/4x五y-1/4xy五 五这个是5次方的意思
2. 4a二b二-(a二+b二)二 二这个是2次方
3. x二-y二-z二-2yz-2x+1 二这个是2次方

4. 103二-97二
5. 57×99+44×99-99
6. 52二+48二+52×96

会的帮下忙!!再线等!!!急!!!

问几道题
1. 1/4x^5y-1/4xy^5

=1/4xy(x^4-y^4)
=1/4xy(x^2+y^2)(x+y)(x-y)

2. 4a^2b^2-(a^2+b^2)^2

=[2ab+a^2+b^2][2ab-(a^2+b^2)]
=(a+b)^2[-(a-b)]^2
=(a+b)^2(a-b)^2

3. x^2-y^2-z^2-2yz-2x+1

=(x^2-2x+1)-(y^2+2yz+z^2)
=(x-1)^2-(y+z)^2
=(x-1+y+z)(x-1-y-z)

4. 103^2-97^2=(103+97)(103-97)=200*6=1200

5. 57×99+44×99-99=99(54+44-1)=99*97=(98+1)(98-1)
=98^2-1=9604-1=9603

6. 52^2+48^2+52×96
=52^2+48^2+2*52*48
=[52+48]^2
=100^2
=10000

1. =1/4xy(x四-y四2)
=1/4xy(x二+y二)(x二-y二)
=1/4xy(x二+y二)(x+y)(x-y)
2. =4a二b二-(a二+b二+2a二b二)
=-(a二+b二-2a二b二)
=-(a二+b二)二
3. =x二-(y+z)二 -2x+1
=(x-1)二-(y+z)二
=(x-1+y+z)(x-1-y-z)

4、(103-97)(103+97)=1200

5. 57×99+44×99-99=99(54+44-1)=99*97=(98+1)(98-1)
=98^2-1=9604-1=9603

6. 52^2+48^2+52×96
=52^2+48^2+2*52*48
=[5