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

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

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

simplify

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

\frac{a + 2}{2 a}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

a + 3

= \frac{a + 2}{2 a}

\frac{2 r - 4}{r - 2}

(9 + 8 i) (- 3 + 4 i)

7 + (- 5)

\frac{lo g _{10} ( 8 )}{lo g _{10} ( 2 )}

3 (x + 2)^{2}

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