第73页

信息发布者:
D
6
3
$\frac{1}{12}$
$ \begin{aligned}解:原式&=\frac {(x+4)(x-4)}{x+4}×\frac {4x}{2(x-4)} \\ &=2x \\ \end{aligned}$
$ \begin{aligned}解:原式&=\frac {(a+3)(a-3)}{(a+3)^2}×\frac {a}{a-3} \\ &=\frac{a}{a+3} \\ \end{aligned}$
$ \begin{aligned} 解:原式&=\frac {x-y}{xy}×\frac {1}{x(y-x)} \\ &=-\frac{1}{x^2y} \\ \end{aligned}$
$ \begin{aligned}解:原式&=\frac {(x+1)(x-1)}{x+1}×\frac {x(x-1)}{(x-1)^2} \\ &=x \\ \end{aligned}$
解:原式$=\frac{x + 1 - 1}{x + 1}\cdot\frac{(x + 1)(x - 1)}{x}$
$=\frac{x}{x + 1}\cdot\frac{(x + 1)(x - 1)}{x}=x - 1.$
当$x=\sqrt{2}+1$时,原式$=\sqrt{2}+1 - 1=\sqrt{2}.$
解:
(1)$A=\frac{2m + n}{(m - n)^{2}}\div\frac{m + n}{(m + n)(m - n)}=\frac{2m + n}{(m - n)^{2}}\cdot\frac{(m + n)(m - n)}{m + n}=\frac{2m + n}{m - n}.$
(2)由题意得$\begin{cases}-2m + 5 = n\\m - 1 = n\end{cases},$解得$\begin{cases}m = 2\\n = 1\end{cases}.$
$\therefore A=\frac{2m + n}{m - n}=\frac{2\times2 + 1}{2 - 1}=5.$