What is expand ((-x^2+16)^3)/3 ?

The solution to expand ((-x^2+16)^3)/3 is -(x^6)/3+16x^4-256x^2+4096/3

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expand ((-x^2+16)^3)/3

expand

\frac{( - x ^{2} + 16 ) ^{3}}{3}

- \frac{x ^{6}}{3} + 16 x^{4} - 256 x^{2} + \frac{4096}{3}

Solution steps

\frac{( - x ^{2} + 16 ) ^{3}}{3}

(- x^{2} + 16)^{3} = - x^{6} + 48 x^{4} - 768 x^{2} + 4096

= \frac{( - x ^{6} + 48 x ^{4} - 768 x ^{2} + 4096 )}{3}

Remove parentheses:

(- a) = - a

= \frac{- x ^{6} + 48 x ^{4} - 768 x ^{2} + 4096}{3}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- x ^{6} + 48 x ^{4} - 768 x ^{2} + 4096}{3} = - \frac{x ^{6}}{3} + \frac{48 x ^{4}}{3} - \frac{768 x ^{2}}{3} + \frac{4096}{3}

= - \frac{x ^{6}}{3} + \frac{48 x ^{4}}{3} - \frac{768 x ^{2}}{3} + \frac{4096}{3}

Divide the numbers:

\frac{48}{3} = 16

= - \frac{x ^{6}}{3} + 16 x^{4} - \frac{768 x ^{2}}{3} + \frac{4096}{3}

Divide the numbers:

\frac{768}{3} = 256

= - \frac{x ^{6}}{3} + 16 x^{4} - 256 x^{2} + \frac{4096}{3}

- sin (t) (sin (\frac{5 π}{36}) - sin (t))

\frac{( x + 9 ) ( x + 2 ) ( x + 4 )}{( x + 6 ) ( x + 7 )}

\frac{( x ^{2} + 4 x + 3 ) ( x + 1 )}{36}

f (x) 3 t + 4 (g (x, t) = - 3)

\frac{1}{( 1 - 5 x ) ^{- \frac{1}{4}}}

What is expand ((-x^2+16)^3)/3 ?
The solution to expand ((-x^2+16)^3)/3 is -(x^6)/3+16x^4-256x^2+4096/3