What is (a^2+3a+2)/(a^2+5a+6) ?

The solution to (a^2+3a+2)/(a^2+5a+6) is (a+1)/(a+3)

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simplify (a^2+3a+2)/(a^2+5a+6)

simplify

\frac{a ^{2} + 3 a + 2}{a ^{2} + 5 a + 6}

\frac{a + 1}{a + 3}

Solution steps

\frac{a ^{2} + 3 a + 2}{a ^{2} + 5 a + 6}

Factor

a^{2} + 3 a + 2 : (a + 1) (a + 2)

= \frac{( a + 1 ) ( a + 2 )}{a ^{2} + 5 a + 6}

Factor

a^{2} + 5 a + 6 : (a + 2) (a + 3)

= \frac{( a + 1 ) ( a + 2 )}{( a + 2 ) ( a + 3 )}

Cancel the common factor:

a + 2

= \frac{a + 1}{a + 3}

3 \cdot 10

4 (r + 2 s) (r + 2 s)

ln (1.08)

(2 + 7) (2 - 7)

(3 - 5 x)^{4}

What is (a^2+3a+2)/(a^2+5a+6) ?
The solution to (a^2+3a+2)/(a^2+5a+6) is (a+1)/(a+3)