What is (a+6)/(a^2+12a+36) ?

The solution to (a+6)/(a^2+12a+36) is 1/(a+6)

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simplify (a+6)/(a^2+12a+36)

simplify

\frac{a + 6}{a ^{2} + 12 a + 36}

\frac{1}{a + 6}

Solution steps

\frac{a + 6}{a ^{2} + 12 a + 36}

Factor

a^{2} + 12 a + 36 : (a + 6)^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a + 6)^{2} = (a + 6) (a + 6)

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

Cancel the common factor:

a + 6

= \frac{1}{a + 6}

(9 a^{4})^{\frac{1}{2}}

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