What is (a^2-3a-10)/(a^2+5a+6) ?

The solution to (a^2-3a-10)/(a^2+5a+6) is (a-5)/(a+3)

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simplify (a^2-3a-10)/(a^2+5a+6)

simplify

\frac{a ^{2} - 3 a - 10}{a ^{2} + 5 a + 6}

\frac{a - 5}{a + 3}

Solution steps

\frac{a ^{2} - 3 a - 10}{a ^{2} + 5 a + 6}

Factor

a^{2} - 3 a - 10 : (a + 2) (a - 5)

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

Factor

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

= \frac{( a + 2 ) ( a - 5 )}{( a + 2 ) ( a + 3 )}

Cancel the common factor:

a + 2

= \frac{a - 5}{a + 3}

\frac{1}{125}

g (1)

- \frac{13}{2}

e^{x l n (x) - x}

What is (a^2-3a-10)/(a^2+5a+6) ?
The solution to (a^2-3a-10)/(a^2+5a+6) is (a-5)/(a+3)