第85页

信息发布者:
解:同分母分式相加减,分母不变,分子相加减;异分母分式相加减,先通分,化为同
分母分式,再按同分母分式的加减法法则进行计算
解:(1)原式​$=\frac {x^2-3xy}{x-y}-\frac {y^2-3xy}{x-y}$​
​$=\frac {x^2-3xy-y^2+3xy}{x-y}$​
​$=\frac {x^2-y^2}{x-y}$​
​$=\frac {(x + y)(x - y)}{x - y}$​
​$=x + y$​
解:(2)原式​$=\frac {(2p - 3q)+(2p + 3q)}{(2p + 3q)(2p - 3q)}$​
​$=\frac {4p}{4p^2-9q^2}$​
$\frac{1}{a}$
$a + b$
$\frac{2x}{x - 3}$
$\frac{1}{x - y}$
​$ B$​
​$ A$​
解:​$(1)\frac {1}{x - 3} + \frac {1}{x + 3}$​
​$ = \frac {(x + 3) + (x - 3)}{(x - 3)(x + 3)}$​
​$ = \frac {x + 3 + x - 3}{x^2 - 9}$​
​$ = \frac {2x}{x^2 - 9}$​
解:​$(2)\frac {a + b}{ab} - \frac {b + c}{bc}$​
​$ = \frac {(a + b)c}{abc} - \frac {(b + c)a}{abc}$​
​$ = \frac {ac + bc - ab - ac}{abc}$​
​$ = \frac {bc - ab}{abc}$​
​$ = \frac {b(c - a)}{abc}$​
​$ = \frac {c - a}{ac}$​