What is factor 6a^2-17a-14 ?

The solution to factor 6a^2-17a-14 is (3a+2)(2a-7)

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factor 6a^2-17a-14

factor

6 a^{2} - 17 a - 14

(3 a + 2) (2 a - 7)

Solution steps

6 a^{2} - 17 a - 14

Break the expression into groups

= (6 a^{2} + 4 a) + (- 21 a - 14)

Factor out

2 a

from

6 a^{2} + 4 a : 2 a (3 a + 2)

Factor out

- 7

from

- 21 a - 14 : - 7 (3 a + 2)

= 2 a (3 a + 2) - 7 (3 a + 2)

Factor out common term

3 a + 2

= (3 a + 2) (2 a - 7)

\frac{a ^{3} + 8}{a + 2} - 4

125 v^{3} - 27 w^{3}

\frac{4}{5} - \frac{1}{6}

300 - 48

\frac{32 a ^{4}}{b ^{2}}