展开 (2(32882^{1/2}-83166^{1/2}))/(243)

解答

展开

\frac{2 ( 328 \cdot 8 2 ^{\frac{1}{2}} - 83 \cdot 16 6 ^{\frac{1}{2}} )}{243}

\frac{656 \cdot 8 2 ^{\frac{1}{2}}}{243} - \frac{166 \cdot 16 6 ^{\frac{1}{2}}}{243}

十进制

15.64433 \dots

求解步骤

\frac{2 ( 328 \cdot 8 2 ^{\frac{1}{2}} - 83 \cdot 16 6 ^{\frac{1}{2}} )}{243}

乘开

2 (328 \cdot 8 2^{\frac{1}{2}} - 83 \cdot 16 6^{\frac{1}{2}}) : 656 \cdot 8 2^{\frac{1}{2}} - 166 \cdot 16 6^{\frac{1}{2}}

= \frac{656 \cdot 8 2 ^{\frac{1}{2}} - 166 \cdot 16 6 ^{\frac{1}{2}}}{243}

使用分式法则:

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

\frac{656 \cdot 8 2 ^{\frac{1}{2}} - 166 \cdot 16 6 ^{\frac{1}{2}}}{243} = \frac{656 \cdot 8 2 ^{\frac{1}{2}}}{243} - \frac{166 \cdot 16 6 ^{\frac{1}{2}}}{243}

= \frac{656 \cdot 8 2 ^{\frac{1}{2}}}{243} - \frac{166 \cdot 16 6 ^{\frac{1}{2}}}{243}

e x p an d e^{x^{2} + 2 x + 5} (2 x + 2)

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

e x p an d - 10 (\frac{π}{6} - \frac{3}{2})

e x p an d \frac{3 ( 5 sin ^{6} ( t ) + 5 cos ^{4} ( t ) ) sin ( 2 t )}{2}

e x p an d (x - 5)^{2} y^{''} (x) + 10 (x - 5) y^{'} (x) + 7 y