What is longdivision (a2+11a+24)/(a3+27) ?

The solution to longdivision (a2+11a+24)/(a3+27) is 13/3-(31)/(a+9)

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longdivision (a2+11a+24)/(a3+27)

long division

\frac{a 2 + 11 a + 24}{a 3 + 27}

\frac{13}{3} - \frac{31}{a + 9}

Solution steps

\frac{a \cdot 2 + 11 a + 24}{a \cdot 3 + 27}

Expand

a \cdot 2 + 11 a + 24 : 13 a + 24

= \frac{13 a + 24}{a \cdot 3 + 27}

Divide

\frac{13 a + 24}{3 a + 27} : \frac{13 a + 24}{3 a + 27} = \frac{13}{3} + \frac{- 93}{3 a + 27}

= \frac{13}{3} + \frac{- 93}{3 a + 27}

Simplify

= \frac{13}{3} - \frac{31}{a + 9}

\frac{a ^{- 10}}{a ^{- 5}}

35 \cdot 35

3 a^{3} - 6 a^{2}

81 + 18 x + x^{2}

2 (x + 2)^{2} + 3 (x + 2) - 20

What is longdivision (a2+11a+24)/(a3+27) ?
The solution to longdivision (a2+11a+24)/(a3+27) is 13/3-(31)/(a+9)