What is expand (4pi(r+2)^2)/3 ?

The solution to expand (4pi(r+2)^2)/3 is (4pir^2)/3+(16pir)/3+(16pi)/3

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expand (4pi(r+2)^2)/3

expand

\frac{4 π ( r + 2 ) ^{2}}{3}

\frac{4 π r ^{2}}{3} + \frac{16 π r}{3} + \frac{16 π}{3}

Solution steps

\frac{4 π ( r + 2 ) ^{2}}{3}

(r + 2)^{2} = r^{2} + 4 r + 4

= \frac{4 π ( r ^{2} + 4 r + 4 )}{3}

Expand

4 π (r^{2} + 4 r + 4) : 4 π r^{2} + 16 π r + 16 π

= \frac{4 π r ^{2} + 16 π r + 16 π}{3}

Apply the fraction rule:

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

\frac{4 π r ^{2} + 16 π r + 16 π}{3} = \frac{4 π r ^{2}}{3} + \frac{16 π r}{3} + \frac{16 π}{3}

= \frac{4 π r ^{2}}{3} + \frac{16 π r}{3} + \frac{16 π}{3}

(9 t^{2} + 4) t^{2} + 1

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

\frac{x ^{2} + 1}{x ^{2} ( x + 1 ) ^{2}}

\frac{- 84 x + 372}{7 ( x - 3 ) ( x - 4 )}

e (7 e - 8) + 8 e

What is expand (4pi(r+2)^2)/3 ?
The solution to expand (4pi(r+2)^2)/3 is (4pir^2)/3+(16pir)/3+(16pi)/3