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

The solution to expand (4pi)/3 (4+4x+x^2) is (4pix^2)/3+(16pix)/3+(16pi)/3

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

expand

\frac{4 π}{3} (4 + 4 x + x^{2})

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

Solution steps

\frac{4 π}{3} (4 + 4 x + x^{2})

Distribute parentheses

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

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

Simplify

4 \cdot \frac{4 π}{3} + 4 \cdot \frac{4 π}{3} x + \frac{4 π}{3} x^{2} : \frac{4 π x ^{2}}{3} + \frac{16 π x}{3} + \frac{16 π}{3}

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

(3 d + 2 e + f)^{2}

\frac{1}{( x + 7 ) ( x ^{2} + 9 )}

(x^{3} - 5 x^{2} + 1)^{6}

(a + m) 2^{^{'}}

\frac{x - 8}{( x - 1 ) ( x - 2 )}

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