What is longdivision ((3a^3-16))/((a-2)) ?

The solution to longdivision ((3a^3-16))/((a-2)) is 3a^2+6a+12+8/(a-2)

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longdivision ((3a^3-16))/((a-2))

long division

\frac{( 3 a ^{3} - 16 )}{( a - 2 )}

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

Solution steps

\frac{( 3 a ^{3} - 16 )}{( a - 2 )}

Divide

\frac{3 a ^{3} - 16}{a - 2} : \frac{3 a ^{3} - 16}{a - 2} = 3 a^{2} + \frac{6 a ^{2} - 16}{a - 2}

= 3 a^{2} + \frac{6 a ^{2} - 16}{a - 2}

Divide

\frac{6 a ^{2} - 16}{a - 2} : \frac{6 a ^{2} - 16}{a - 2} = 6 a + \frac{12 a - 16}{a - 2}

= 3 a^{2} + 6 a + \frac{12 a - 16}{a - 2}

Divide

\frac{12 a - 16}{a - 2} : \frac{12 a - 16}{a - 2} = 12 + \frac{8}{a - 2}

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

\frac{2 x ^{2} + 5 x - 18}{x + 4}

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

\frac{( 2 x - 5 )}{( 3 - 4 x )}

\frac{( 5 x + 9 )}{( 3 x - 4 )}

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

What is longdivision ((3a^3-16))/((a-2)) ?
The solution to longdivision ((3a^3-16))/((a-2)) is 3a^2+6a+12+8/(a-2)