What is expand ((2-m)^3)/3 ?

The solution to expand ((2-m)^3)/3 is 8/3-4m+2m^2-(m^3)/3

Popular >

expand ((2-m)^3)/3

expand

\frac{( 2 - m ) ^{3}}{3}

\frac{8}{3} - 4 m + 2 m^{2} - \frac{m ^{3}}{3}

Solution steps

\frac{( 2 - m ) ^{3}}{3}

(2 - m)^{3} = 8 - 12 m + 6 m^{2} - m^{3}

= \frac{8 - 12 m + 6 m ^{2} - m ^{3}}{3}

Apply the fraction rule:

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

\frac{8 - 12 m + 6 m ^{2} - m ^{3}}{3} = \frac{8}{3} - \frac{12 m}{3} + \frac{6 m ^{2}}{3} - \frac{m ^{3}}{3}

= \frac{8}{3} - \frac{12 m}{3} + \frac{6 m ^{2}}{3} - \frac{m ^{3}}{3}

Divide the numbers:

\frac{12}{3} = 4

= \frac{8}{3} - 4 m + \frac{6 m ^{2}}{3} - \frac{m ^{3}}{3}

Divide the numbers:

\frac{6}{3} = 2

= \frac{8}{3} - 4 m + 2 m^{2} - \frac{m ^{3}}{3}

\frac{96 n}{( 4 n + 5 k ) ^{2}}

\frac{( n + 1 ) ( 2 n + 1 )}{n}

\frac{( 30 x + 1 ) ( 10 x + 1 )}{300}

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

What is expand ((2-m)^3)/3 ?
The solution to expand ((2-m)^3)/3 is 8/3-4m+2m^2-(m^3)/3