展开 2/5 (5/x+10x^2)

解答

展开

\frac{2}{5} (\frac{5}{x} + 10 x^{2})

\frac{2}{x} + 4 x^{2}

求解步骤

\frac{2}{5} (\frac{5}{x} + 10 x^{2})

使用分配律:

a (b + c) = ab + a c

\frac{2}{5} (\frac{5}{x} + 10 x^{2}) = \frac{2}{5} \cdot \frac{5}{x} + \frac{2}{5} \cdot 10 x^{2}

= \frac{2}{5} \cdot \frac{5}{x} + \frac{2}{5} \cdot 10 x^{2}

化简

\frac{2}{5} \cdot \frac{5}{x} + \frac{2}{5} \cdot 10 x^{2} : \frac{2}{x} + 4 x^{2}

= \frac{2}{x} + 4 x^{2}

s im pl i f y (1 - 5 x)^{2}

e x p an d \frac{ln ( x ) - 1}{( ln ( x ) ) ^{2}}

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

e x p an d \frac{( p - q ) ^{3}}{( p + q )}

s im pl i f y (1 + \frac{1}{n + 1}) (1 - \frac{n}{( n + 1 ) ^{2}})