展开 ((a+h)^2+4)/h

解答

展开

\frac{( a + h ) ^{2} + 4}{h}

\frac{a ^{2}}{h} + 2 a + h + \frac{4}{h}

求解步骤

\frac{( a + h ) ^{2} + 4}{h}

乘开

(a + h)^{2} + 4 : a^{2} + 2 ah + h^{2} + 4

= \frac{a ^{2} + 2 ah + h ^{2} + 4}{h}

使用分式法则:

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

\frac{a ^{2} + 2 ah + h ^{2} + 4}{h} = \frac{a ^{2}}{h} + \frac{2 ah}{h} + \frac{h ^{2}}{h} + \frac{4}{h}

= \frac{a ^{2}}{h} + \frac{2 ah}{h} + \frac{h ^{2}}{h} + \frac{4}{h}

消掉

\frac{2 ah}{h} : 2 a

= \frac{a ^{2}}{h} + 2 a + \frac{h ^{2}}{h} + \frac{4}{h}

消掉

\frac{h ^{2}}{h} : h

= \frac{a ^{2}}{h} + 2 a + h + \frac{4}{h}

e x p an d (2 e + f)^{7}

e x p an d 3 (2 i, - 4 j) + 2 (- 5 i, - 2 j)

e x p an d - 1^{2} - 2

e x p an d \frac{- x + 4}{6 ( x + 2 )}

\frac{d ^{2}}{d x ^{2}} ((y) (3 x - 4))