若a-1=1/(a-2),化简(2a^4-7a^3+2a^2+3a-3)/(a^2+1)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/21 00:35:23
![若a-1=1/(a-2),化简(2a^4-7a^3+2a^2+3a-3)/(a^2+1)](/uploads/image/z/3933261-45-1.jpg?t=%E8%8B%A5a-1%3D1%2F%28a-2%29%2C%E5%8C%96%E7%AE%80%282a%5E4-7a%5E3%2B2a%5E2%2B3a-3%29%2F%28a%5E2%2B1%29)
若a-1=1/(a-2),化简(2a^4-7a^3+2a^2+3a-3)/(a^2+1)
若a-1=1/(a-2),化简(2a^4-7a^3+2a^2+3a-3)/(a^2+1)
若a-1=1/(a-2),化简(2a^4-7a^3+2a^2+3a-3)/(a^2+1)
若a-1=1/(a-2),
(a-1)(a-2)=1
a^2-3a+2=1
a^2+1=3a
化简(2a^4-7a^3+2a^2+3a-3)/(a^2+1)
=(2a^4+2a^2-7a^3-7a+10a-3)/(a^2+1)
=(2a^2(a^2+1)-7a(a^2+1)+10a-3)/(a^2+1)
=(2a^2*3a-7a*3a+10a-3)/(3a)
=(6a^3-21a^2+10a-3)/(3a)
=(6a^3+6a-21a^2-21+4a+18)/(3a)
=(6a*3a-21*3a+4a+18)/(3a)
=(18a^2-63a+4a+18)/(3a)
=(18*(a^2+1)-59a)/(3a)
=(18*3a-59a)/(3a)
=(-5a)/(3a)
=-5/3