What is ((6a^2-a-40))/((2a+5)) ?

The solution to ((6a^2-a-40))/((2a+5)) is 3a-8

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simplify ((6a^2-a-40))/((2a+5))

simplify

\frac{( 6 a ^{2} - a - 40 )}{( 2 a + 5 )}

3 a - 8

Solution steps

\frac{6 a ^{2} - a - 40}{2 a + 5}

Factor

6 a^{2} - a - 40 : (2 a + 5) (3 a - 8)

= \frac{( 2 a + 5 ) ( 3 a - 8 )}{2 a + 5}

Cancel the common factor:

2 a + 5

= 3 a - 8

- 3 (2 x - 6)

8 (2 x + 5) - 7 (x - 9)

\frac{4}{1 + 5}

x^{2} - x y - 4 x + 4 y

- (x + 1)^{2} + (x + 1) + 1