What is expand ((12+3x)x)/(20) ?

The solution to expand ((12+3x)x)/(20) is (3x^2}{20}+\frac{3x)/5

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expand ((12+3x)x)/(20)

expand

\frac{( 12 + 3 x ) x}{20}

\frac{3 x ^{2}}{20} + \frac{3 x}{5}

Solution steps

\frac{( 12 + 3 x ) x}{20}

Expand

(12 + 3 x) x : 12 x + 3 x^{2}

= \frac{12 x + 3 x ^{2}}{20}

Apply the fraction rule:

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

\frac{12 x + 3 x ^{2}}{20} = \frac{12 x}{20} + \frac{3 x ^{2}}{20}

= \frac{12 x}{20} + \frac{3 x ^{2}}{20}

Cancel

\frac{12 x}{20} : \frac{3 x}{5}

= \frac{3 x}{5} + \frac{3 x ^{2}}{20}

Rewrite in standard form

= \frac{3 x ^{2}}{20} + \frac{3 x}{5}

\frac{238.6 B}{s ( s + 10.2 ) ( s ^{2} - B ^{2} )}

\frac{( 25 x ^{2} + 2 x ) ^{5}}{( 3 x + 8 x ^{3} ) ^{3}}

f (\frac{x}{2} - 3) - 4

(\frac{1}{2} - b)^{2}

x (36 - x^{2} + 121 - x^{2})

What is expand ((12+3x)x)/(20) ?
The solution to expand ((12+3x)x)/(20) is (3x^2}{20}+\frac{3x)/5