What is expand (0.2(0.01x^2+120))/x ?

The solution to expand (0.2(0.01x^2+120))/x is 0.002x+(24)/x

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expand (0.2(0.01x^2+120))/x

expand

\frac{0.2 ( 0.01 x ^{2} + 120 )}{x}

0.002 x + \frac{24}{x}

Solution steps

\frac{0.2 ( 0.01 x ^{2} + 120 )}{x}

Expand

0.2 (0.01 x^{2} + 120) : 0.002 x^{2} + 24

= \frac{0.002 x ^{2} + 24}{x}

Apply the fraction rule:

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

\frac{0.002 x ^{2} + 24}{x} = \frac{0.002 x ^{2}}{x} + \frac{24}{x}

= \frac{0.002 x ^{2}}{x} + \frac{24}{x}

Cancel

\frac{0.002 x ^{2}}{x} : 0.002 x

= 0.002 x + \frac{24}{x}

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What is expand (0.2(0.01x^2+120))/x ?
The solution to expand (0.2(0.01x^2+120))/x is 0.002x+(24)/x