a^2-1/a^2+2a+14-m/m^2-16-x^2+2x-1/x-1先约分,再求值:a^2-8a+16/a^2-16,其中a=53x^2-xy/9x^2-6xy+y^2,其中x=3/4 y=-2/3

问题描述:

a^2-1/a^2+2a+1
4-m/m^2-16
-x^2+2x-1/x-1
先约分,再求值:
a^2-8a+16/a^2-16,其中a=5
3x^2-xy/9x^2-6xy+y^2,其中x=3/4 y=-2/3

1. a^2-8a+16 =(a-4)的平方
a^2-16=(a+4)(a-4) 分子和分母同时约掉一个(a-4) 是剩下(a-4)÷(a+4) 把a=5带入 所以结果为1/9.
2 第二题直接把数代入就能求出来了

a-1╱a+1
-1╱m-4
a+4╱a-4 9
x╱3x-y 6╱1

【参考答案】 1、(a^2-1)/(a^2+2a+1)=(a+1)(a-1)/(a+1)²=(a-1)/(a+1) 2、(4-m)/(m^2-16)=(4-m)/[(m+4)(m-4)]=-1/(m+4) 3、(-x^2+2x-1)/(x-1)=-(x-1)²/(x-1)=-(x-1)=1-x 先约分,再求值:1、a^2-8a+16/a^2-1...

a^2-1/a^2+2a+1
=(a+1)(a-1)/(a+1)^2
=(a-1)/(a+1)
4-m/m^2-16
=-(m-4)/(m+4)(m-4)
=-1/(m+4)
-x^2+2x-1/x-1
=-(x-1)^2/x-1
=1-x
先约分,再求值:a^2-8a+16/a^2-16,其中a=5
a^2-8a+16/a^2-16
=(a-4)^2/(a+4)(a-4)
=(a-4)/(a+4)
=1/9
3x^2-xy/9x^2-6xy+y^2,其中x=3/4 y=-2/3
3x^2-xy/9x^2-6xy+y^2
=x(3x-y)/(3x-y)^2
=x/3x-y
=3/4 /(9/4+2/3)
=9/35