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受欢迎的代数 >

化简 (c+\frac{125)/(c^2)}{1+5/c}

解答

化简

\frac{c + \frac{125}{c ^{2}}}{1 + \frac{5}{c}}

解答

\frac{c ^{2} - 5 c + 25}{c}

求解步骤

\frac{c + \frac{125}{c ^{2}}}{1 + \frac{5}{c}}

合并

c + \frac{125}{c ^{2}} : \frac{c ^{3} + 125}{c ^{2}}

= \frac{\frac{c ^{3} + 125}{c ^{2}}}{1 + \frac{5}{c}}

合并

1 + \frac{5}{c} : \frac{c + 5}{c}

= \frac{\frac{c ^{3} + 125}{c ^{2}}}{\frac{c + 5}{c}}

使用分式法则:

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

= \frac{( c ^{3} + 125 ) c}{c ^{2} ( c + 5 )}

消掉

\frac{( c ^{3} + 125 ) c}{c ^{2} ( c + 5 )} : \frac{c ^{2} - 5 c + 25}{c}

= \frac{c ^{2} - 5 c + 25}{c}

流行的例子

p^{2} + 14 p - 3 = 0

化简 1/(4-sqrt(3))

s im pl i f y \frac{1}{4 - 3}

因式分解 8x^3+72x^2+160x

f a c t or 8 x^{3} + 72 x^{2} + 160 x

x + 9 = 5 x - 11

- 4 e - 9 = 19