展开 ([(a+h)]-[(a)]^3)/h

解答

展开

\frac{[ ( a + h ) ] - [ ( a ) ] ^{3}}{h}

\frac{a}{h} + 1 - \frac{a ^{3}}{h}

求解步骤

\frac{( ( a + h ) ) - a ^{3}}{h}

去除括号:

(a) = a

= \frac{a + h - a ^{3}}{h}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{a + h - a ^{3}}{h} = \frac{a}{h} + \frac{h}{h} - \frac{a ^{3}}{h}

= \frac{a}{h} + \frac{h}{h} - \frac{a ^{3}}{h}

使用法则

\frac{a}{a} = 1

\frac{h}{h} = 1

= \frac{a}{h} + 1 - \frac{a ^{3}}{h}

e x p an d \frac{( x - 2 ) ( x + 3 )}{( x + 2 )}

e x p an d - 3 (- 4 a - 3 b - 5 c = 2)

e x p an d \frac{1}{( x ^{3} + 7 ) ^{6}}

e x p an d \frac{5 y ^{2} - 6 y - 5}{5 y ( 5 y - 3 )}

e x p an d \frac{5 ( 5 - 17 )}{2}