What is expand 4xpi(6-x)^2 ?

The solution to expand 4xpi(6-x)^2 is 4pix^3-48pix^2+144pix

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expand 4xpi(6-x)^2

expand

4 x π (6 - x)^{2}

4 π x^{3} - 48 π x^{2} + 144 π x

Solution steps

4 x π (6 - x)^{2}

(6 - x)^{2} = 36 - 12 x + x^{2}

= 4 π x (x^{2} - 12 x + 36)

= 4 π x (36 - 12 x + x^{2})

Distribute parentheses

= 4 x π 36 + 4 x π (- 12 x) + 4 x π x^{2}

Apply minus-plus rules

+ (- a) = - a

= 4 \cdot 36 π x - 4 \cdot 12 π xx + 4 π x^{2} x

Simplify

4 \cdot 36 π x - 4 \cdot 12 π xx + 4 π x^{2} x : 144 π x - 48 π x^{2} + 4 π x^{3}

= 144 π x - 48 π x^{2} + 4 π x^{3}

Rewrite in standard form

= 4 π x^{3} - 48 π x^{2} + 144 π x

\frac{- ( - 2 ) ( 2 ( - 2 ) ^{2} + 3 ( - 2 ) - 12 )}{3}

\frac{2 ( 2 x - T )}{T}

\frac{1}{r ( n - r )}

\frac{d}{d t} ((r (t)) (2 sin (t) - e^{- t}))

(\frac{x}{3} + \frac{y}{6} + z = 1) 6

What is expand 4xpi(6-x)^2 ?
The solution to expand 4xpi(6-x)^2 is 4pix^3-48pix^2+144pix