What is (a^2+9a+18)/(a^2+3a-18) ?

The solution to (a^2+9a+18)/(a^2+3a-18) is (a+3)/(a-3)

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simplify (a^2+9a+18)/(a^2+3a-18)

simplify

\frac{a ^{2} + 9 a + 18}{a ^{2} + 3 a - 18}

\frac{a + 3}{a - 3}

Solution steps

\frac{a ^{2} + 9 a + 18}{a ^{2} + 3 a - 18}

Factor

a^{2} + 9 a + 18 : (a + 3) (a + 6)

= \frac{( a + 3 ) ( a + 6 )}{a ^{2} + 3 a - 18}

Factor

a^{2} + 3 a - 18 : (a - 3) (a + 6)

= \frac{( a + 3 ) ( a + 6 )}{( a - 3 ) ( a + 6 )}

Cancel the common factor:

a + 6

= \frac{a + 3}{a - 3}

(5^{- 2})^{2}

x^{2} = 2 x - 1

\frac{3 ^{6}}{3 ^{6}}

9 x - 3 = 3 x + 6 x + 2 + 3

(\frac{- 27}{8})^{\frac{4}{3}}

What is (a^2+9a+18)/(a^2+3a-18) ?
The solution to (a^2+9a+18)/(a^2+3a-18) is (a+3)/(a-3)