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

The solution to expand 4pi(x+1)^3 is 4pix^3+12pix^2+12pix+4pi

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expand 4pi(x+1)^3

expand

4 π (x + 1)^{3}

4 π x^{3} + 12 π x^{2} + 12 π x + 4 π

Solution steps

4 π (x + 1)^{3}

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

= 4 π (x^{3} + 3 x^{2} + 3 x + 1)

Distribute parentheses

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

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

Simplify

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

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

co v (1 + 2 X + 3 v, Y)

10 (1 - 3 t) e - 3 t

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

(cos (x))^{5}

\frac{( 3 h - 4 ) ( h + 2 )}{h}

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