What is factor 15a^2-8a-12 ?

The solution to factor 15a^2-8a-12 is (3a+2)(5a-6)

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factor 15a^2-8a-12

factor

15 a^{2} - 8 a - 12

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

Solution steps

15 a^{2} - 8 a - 12

Break the expression into groups

= (15 a^{2} + 10 a) + (- 18 a - 12)

Factor out

5 a

from

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

Factor out

- 6

from

- 18 a - 12 : - 6 (3 a + 2)

= 5 a (3 a + 2) - 6 (3 a + 2)

Factor out common term

3 a + 2

= (3 a + 2) (5 a - 6)

\frac{4 k ^{2} - 12 k + 9}{2 k ^{2} + 19 k - 33} \cdot \frac{k ^{2} + 8 k - 33}{k ^{2} - 3 k}

- - 2

\frac{- 3}{2}

(x - 1)^{- 1}

2 - 5 x \geq - 9