What is (a^2+19a+90)/(a^2+15a+50) ?

The solution to (a^2+19a+90)/(a^2+15a+50) is (a+9)/(a+5)

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simplify (a^2+19a+90)/(a^2+15a+50)

simplify

\frac{a ^{2} + 19 a + 90}{a ^{2} + 15 a + 50}

\frac{a + 9}{a + 5}

Solution steps

\frac{a ^{2} + 19 a + 90}{a ^{2} + 15 a + 50}

Factor

a^{2} + 19 a + 90 : (a + 9) (a + 10)

= \frac{( a + 9 ) ( a + 10 )}{a ^{2} + 15 a + 50}

Factor

a^{2} + 15 a + 50 : (a + 5) (a + 10)

= \frac{( a + 9 ) ( a + 10 )}{( a + 5 ) ( a + 10 )}

Cancel the common factor:

a + 10

= \frac{a + 9}{a + 5}

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What is (a^2+19a+90)/(a^2+15a+50) ?
The solution to (a^2+19a+90)/(a^2+15a+50) is (a+9)/(a+5)