What is expand (8(16n^2+48n+32))/(9n) ?

The solution to expand (8(16n^2+48n+32))/(9n) is (128n)/9+128/3+(256)/(9n)

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expand (8(16n^2+48n+32))/(9n)

expand

\frac{8 ( 16 n ^{2} + 48 n + 32 )}{9 n}

\frac{128 n}{9} + \frac{128}{3} + \frac{256}{9 n}

Solution steps

\frac{8 ( 16 n ^{2} + 48 n + 32 )}{9 n}

Expand

8 (16 n^{2} + 48 n + 32) : 128 n^{2} + 384 n + 256

= \frac{128 n ^{2} + 384 n + 256}{9 n}

Apply the fraction rule:

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

\frac{128 n ^{2} + 384 n + 256}{9 n} = \frac{128 n ^{2}}{9 n} + \frac{384 n}{9 n} + \frac{256}{9 n}

= \frac{128 n ^{2}}{9 n} + \frac{384 n}{9 n} + \frac{256}{9 n}

Cancel

\frac{128 n ^{2}}{9 n} : \frac{128 n}{9}

= \frac{128 n}{9} + \frac{384 n}{9 n} + \frac{256}{9 n}

Cancel

\frac{384 n}{9 n} : \frac{128}{3}

= \frac{128 n}{9} + \frac{128}{3} + \frac{256}{9 n}

\frac{1 - x}{( x - 3 ) ^{3}}

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\frac{12 s - 24}{( s ^{2} - 4 s + 85 ) ^{2}}

(3 e^{2} + 4 d^{2})^{3}

What is expand (8(16n^2+48n+32))/(9n) ?
The solution to expand (8(16n^2+48n+32))/(9n) is (128n)/9+128/3+(256)/(9n)