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受欢迎的代数 >

化简 (-(4/3)^2+2(8/3))/((8/3)^2-2(4/3))

解答

化简

\frac{- ( \frac{4}{3} ) ^{2} + 2 ( \frac{8}{3} )}{( \frac{8}{3} ) ^{2} - 2 ( \frac{4}{3} )}

解答

\frac{4}{5}

+1

十进制

0.8

求解步骤

\frac{- ( \frac{4}{3} ) ^{2} + 2 ( \frac{8}{3} )}{( \frac{8}{3} ) ^{2} - 2 ( \frac{4}{3} )}

\frac{- ( \frac{4}{3} ) ^{2} + 2 ( \frac{8}{3} )}{( \frac{8}{3} ) ^{2} - 2 ( \frac{4}{3} )} = \frac{- ( \frac{4}{3} ) ^{2} + 2 \cdot \frac{8}{3}}{( \frac{8}{3} ) ^{2} - 2 \cdot \frac{4}{3}}

= \frac{- ( \frac{4}{3} ) ^{2} + 2 \cdot \frac{8}{3}}{( \frac{8}{3} ) ^{2} - 2 \cdot \frac{4}{3}}

- (\frac{4}{3})^{2} + 2 \cdot \frac{8}{3} = \frac{32}{9}

= \frac{\frac{32}{9}}{( \frac{8}{3} ) ^{2} - 2 \cdot \frac{4}{3}}

(\frac{8}{3})^{2} - 2 \cdot \frac{4}{3} = \frac{40}{9}

= \frac{\frac{32}{9}}{\frac{40}{9}}

使用分式法则:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{32 \cdot 9}{9 \cdot 40}

消掉

\frac{32 \cdot 9}{9 \cdot 40} : \frac{4}{5}

= \frac{4}{5}

流行的例子

化简 log_{5}(-5)

s im pl i f y lo g_{5} (- 5)

- 15 x + 4 \leq 109

4 u^{2} - 20 u = 0

化简 5/6-8/12

s im pl i f y \frac{5}{6} - \frac{8}{12}

3/5 x-5= 1/2 x-4

\frac{3}{5} x - 5 = \frac{1}{2} x - 4