What is expand (4pq^4(7p+1))/(5r) ?

The solution to expand (4pq^4(7p+1))/(5r) is (28p^2q^4)/(5r)+(4pq^4)/(5r)

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expand (4pq^4(7p+1))/(5r)

expand

\frac{4 p q ^{4} ( 7 p + 1 )}{5 r}

\frac{28 p ^{2} q ^{4}}{5 r} + \frac{4 p q ^{4}}{5 r}

Solution steps

\frac{4 p q ^{4} ( 7 p + 1 )}{5 r}

Expand

4 p q^{4} (7 p + 1) : 28 p^{2} q^{4} + 4 p q^{4}

= \frac{28 p ^{2} q ^{4} + 4 p q ^{4}}{5 r}

Apply the fraction rule:

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

\frac{28 p ^{2} q ^{4} + 4 p q ^{4}}{5 r} = \frac{28 p ^{2} q ^{4}}{5 r} + \frac{4 p q ^{4}}{5 r}

= \frac{28 p ^{2} q ^{4}}{5 r} + \frac{4 p q ^{4}}{5 r}

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25 (1 - sin (2 x))

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What is expand (4pq^4(7p+1))/(5r) ?
The solution to expand (4pq^4(7p+1))/(5r) is (28p^2q^4)/(5r)+(4pq^4)/(5r)