What is factor 2a^2-a-15 ?

The solution to factor 2a^2-a-15 is (2a+5)(a-3)

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factor 2a^2-a-15

factor

2 a^{2} - a - 15

(2 a + 5) (a - 3)

Solution steps

2 a^{2} - a - 15

Break the expression into groups

= (2 a^{2} + 5 a) + (- 6 a - 15)

Factor out

a

from

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

Factor out

- 3

from

- 6 a - 15 : - 3 (2 a + 5)

= a (2 a + 5) - 3 (2 a + 5)

Factor out common term

2 a + 5

= (2 a + 5) (a - 3)

5 x^{2} - 3 x - 14

\frac{1}{3} + \frac{1}{15}

\frac{3 ( 5 - c )}{2} = - \frac{2 ( 2 c + 7 )}{3}

- 8 (x + 3) > 2 (x + 4)

a^{2} + 6 a - b^{2} + 6 b