What is expand ((3ql+2p)l)/(16) ?

The solution to expand ((3ql+2p)l)/(16) is (3l^2q}{16}+\frac{lp)/8

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expand ((3ql+2p)l)/(16)

expand

\frac{( 3 ql + 2 p ) l}{16}

\frac{3 l ^{2} q}{16} + \frac{lp}{8}

Solution steps

\frac{( 3 ql + 2 p ) l}{16}

Expand

(3 ql + 2 p) l : 3 l^{2} q + 2 lp

= \frac{3 l ^{2} q + 2 lp}{16}

Apply the fraction rule:

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

\frac{3 l ^{2} q + 2 lp}{16} = \frac{3 l ^{2} q}{16} + \frac{2 lp}{16}

= \frac{3 l ^{2} q}{16} + \frac{2 lp}{16}

Cancel

\frac{2 lp}{16} : \frac{lp}{8}

= \frac{3 l ^{2} q}{16} + \frac{lp}{8}

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What is expand ((3ql+2p)l)/(16) ?
The solution to expand ((3ql+2p)l)/(16) is (3l^2q}{16}+\frac{lp)/8