展开 (-147n^4+756in)/(4(7in^3+9)^{3/2)}

解答

展开

\frac{- 147 n ^{4} + 756 in}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}}

- \frac{147 n ^{4}}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}} + \frac{189 in}{( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}}

求解步骤

\frac{- 147 n ^{4} + 756 in}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}}

使用分式法则:

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

\frac{- 147 n ^{4} + 756 in}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}} = - \frac{147 n ^{4}}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}} + \frac{756 in}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}}

= - \frac{147 n ^{4}}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}} + \frac{756 in}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}}

数字相除:

\frac{756}{4} = 189

= - \frac{147 n ^{4}}{4 ( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}} + \frac{189 in}{( 7 i n ^{3} + 9 ) ^{\frac{3}{2}}}

e x p an d 3 (\frac{9}{9 - π} - 1)

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e x p an d - \frac{( w ) ( L + x ) ^{2}}{2} + (2 L w x)

e x p an d 3 (x + 6)^{2} + 7

\frac{d}{d x} ((t) (x^{2} + y^{2} - z (t)^{2}))