What is factor (a^2+11a+24)/(a^3+27) ?

The solution to factor (a^2+11a+24)/(a^3+27) is (a+8)/(a^2-3a+9)

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factor (a^2+11a+24)/(a^3+27)

factor

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

\frac{a + 8}{a ^{2} - 3 a + 9}

Solution steps

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

Factor

a^{2} + 11 a + 24 : (a + 3) (a + 8)

= \frac{( a + 3 ) ( a + 8 )}{a ^{3} + 27}

Factor

a^{3} + 27 : (a + 3) (a^{2} - 3 a + 9)

= \frac{( a + 3 ) ( a + 8 )}{( a + 3 ) ( a ^{2} - 3 a + 9 )}

Cancel the common factor:

a + 3

= \frac{a + 8}{a ^{2} - 3 a + 9}

m^{8} - 7 m^{6} + 8 m^{4} + 16 m^{2}

62.5 = \frac{k}{3}

2 (9)^{\frac{3}{2}}

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

(4 - i) (3 + 2 i)

What is factor (a^2+11a+24)/(a^3+27) ?
The solution to factor (a^2+11a+24)/(a^3+27) is (a+8)/(a^2-3a+9)