What is expand 4pi(r+1)^3 ?

The solution to expand 4pi(r+1)^3 is 4pir^3+12pir^2+12pir+4pi

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expand 4pi(r+1)^3

expand

4 π (r + 1)^{3}

4 π r^{3} + 12 π r^{2} + 12 π r + 4 π

Solution steps

4 π (r + 1)^{3}

(r + 1)^{3} = r^{3} + 3 r^{2} + 3 r + 1

= 4 π (r^{3} + 3 r^{2} + 3 r + 1)

Distribute parentheses

= 4 π r^{3} + 4 π 3 r^{2} + 4 π 3 r + 4 π 1

= 4 π r^{3} + 4 \cdot 3 π r^{2} + 4 \cdot 3 π r + 4 \cdot 1 π

Simplify

4 π r^{3} + 4 \cdot 3 π r^{2} + 4 \cdot 3 π r + 4 \cdot 1 π : 4 π r^{3} + 12 π r^{2} + 12 π r + 4 π

= 4 π r^{3} + 12 π r^{2} + 12 π r + 4 π

(- (3 + 5 x))^{2}

\frac{7}{( 2 x - 1 ) ^{2}}

e^{b (t + c)}

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

\frac{5 x - 2}{x ( x ^{2} + 6 ) ^{2}}

What is expand 4pi(r+1)^3 ?
The solution to expand 4pi(r+1)^3 is 4pir^3+12pir^2+12pir+4pi