What is expand 4pi(r+5)^3 ?

The solution to expand 4pi(r+5)^3 is 4pir^3+60pir^2+300pir+500pi

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expand 4pi(r+5)^3

expand

4 π (r + 5)^{3}

4 π r^{3} + 60 π r^{2} + 300 π r + 500 π

Solution steps

4 π (r + 5)^{3}

(r + 5)^{3} = r^{3} + 15 r^{2} + 75 r + 125

= 4 π (r^{3} + 15 r^{2} + 75 r + 125)

Distribute parentheses

= 4 π r^{3} + 4 π 15 r^{2} + 4 π 75 r + 4 π 125

= 4 π r^{3} + 4 \cdot 15 π r^{2} + 4 \cdot 75 π r + 4 \cdot 125 π

Simplify

4 π r^{3} + 4 \cdot 15 π r^{2} + 4 \cdot 75 π r + 4 \cdot 125 π : 4 π r^{3} + 60 π r^{2} + 300 π r + 500 π

= 4 π r^{3} + 60 π r^{2} + 300 π r + 500 π

\frac{e ^{x}}{( x + 16 ) ^{3}}

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

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

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

\frac{( x - y ) ^{3}}{( x + y ) ^{2}}

What is expand 4pi(r+5)^3 ?
The solution to expand 4pi(r+5)^3 is 4pir^3+60pir^2+300pir+500pi