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Popular >

simplify (9a+9)/(a^2+2a+1)

Solution

simplify

\frac{9 a + 9}{a ^{2} + 2 a + 1}

Solution

\frac{9}{a + 1}

Solution steps

\frac{9 a + 9}{a ^{2} + 2 a + 1}

Factor

9 a + 9 : 9 (a + 1)

= \frac{9 ( a + 1 )}{a ^{2} + 2 a + 1}

Factor

a^{2} + 2 a + 1 : (a + 1)^{2}

= \frac{9 ( a + 1 )}{( a + 1 ) ^{2}}

Apply exponent rule:

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

(a + 1)^{2} = (a + 1) (a + 1)

= \frac{9 ( a + 1 )}{( a + 1 ) ( a + 1 )}

Cancel the common factor:

a + 1

= \frac{9}{a + 1}

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Frequently Asked Questions (FAQ)

What is (9a+9)/(a^2+2a+1) ?
The solution to (9a+9)/(a^2+2a+1) is 9/(a+1)