What is factor 6a^2-13ab-5b^2 ?

The solution to factor 6a^2-13ab-5b^2 is (3a+b)(2a-5b)

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factor 6a^2-13ab-5b^2

factor

6 a^{2} - 13 ab - 5 b^{2}

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

Solution steps

6 a^{2} - 13 ab - 5 b^{2}

Break the expression into groups

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

Factor out

2 a

from

6 a^{2} + 2 ab : 2 a (3 a + b)

Factor out

- 5 b

from

- 15 ab - 5 b^{2} : - 5 b (3 a + b)

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

Factor out common term

3 a + b

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

\frac{1}{3} (9)^{\frac{3}{2}}

(4 - 2 x) + (5 x - 3) = (x - 2) - (x + 3)

62 \cdot 62

\frac{6}{4 a ^{2}} - \frac{5 a}{4}

\frac{17 m ^{- 2} n ^{- 3}}{2}

What is factor 6a^2-13ab-5b^2 ?
The solution to factor 6a^2-13ab-5b^2 is (3a+b)(2a-5b)