What is (5a^2-9a-2)/(a^2+4a-12) ?

The solution to (5a^2-9a-2)/(a^2+4a-12) is (5a+1)/(a+6)

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simplify (5a^2-9a-2)/(a^2+4a-12)

simplify

\frac{5 a ^{2} - 9 a - 2}{a ^{2} + 4 a - 12}

\frac{5 a + 1}{a + 6}

Solution steps

\frac{5 a ^{2} - 9 a - 2}{a ^{2} + 4 a - 12}

Factor

5 a^{2} - 9 a - 2 : (5 a + 1) (a - 2)

= \frac{( 5 a + 1 ) ( a - 2 )}{a ^{2} + 4 a - 12}

Factor

a^{2} + 4 a - 12 : (a - 2) (a + 6)

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

Cancel the common factor:

a - 2

= \frac{5 a + 1}{a + 6}

x y + 2 y - 2 x - 4

\frac{4 !}{2 ! 2 !}

6 q^{2} - 13 q + 6 = 2 q^{2}

x^{2} + 5 x - 6 = 0

u \cdot u^{\frac{1}{2}}

What is (5a^2-9a-2)/(a^2+4a-12) ?
The solution to (5a^2-9a-2)/(a^2+4a-12) is (5a+1)/(a+6)