espandere 4pi(r+5)^3

Soluzione

espandere

4 π (r + 5)^{3}

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

Fasi della soluzione

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)

Distribuire le parentesi

= 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

Semplifica

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

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

e x p an d \frac{1}{( 1 - x ) ( x + 2 )}

e x p an d \frac{f ( 2 x ^{2} + 2 x ^{2} h - 1 )}{h}

e x p an d (3 x^{2} + 5 x - 2)^{5}

e x p an d \frac{( x - y ) ^{3}}{( x + y ) ^{2}}