What is expand 2/5 (5/x+10x^2) ?

The solution to expand 2/5 (5/x+10x^2) is 2/x+4x^2

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expand 2/5 (5/x+10x^2)

expand

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

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

Solution steps

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

Apply the distributive law:

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}

Simplify

\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}

(1 - 5 x)^{2}

\frac{ln ( x ) - 1}{( ln ( x ) ) ^{2}}

2 x y d x + (y^{2} - x^{2}) d y

\frac{( p - q ) ^{3}}{( p + q )}

(1 + \frac{1}{n + 1}) (1 - \frac{n}{( n + 1 ) ^{2}})

What is expand 2/5 (5/x+10x^2) ?
The solution to expand 2/5 (5/x+10x^2) is 2/x+4x^2