What is factor 6a^2+13a+5 ?

The solution to factor 6a^2+13a+5 is (2a+1)(3a+5)

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factor 6a^2+13a+5

factor

6 a^{2} + 13 a + 5

(2 a + 1) (3 a + 5)

Solution steps

6 a^{2} + 13 a + 5

Break the expression into groups

= (6 a^{2} + 3 a) + (10 a + 5)

Factor out

3 a

from

6 a^{2} + 3 a : 3 a (2 a + 1)

Factor out

5

from

10 a + 5 : 5 (2 a + 1)

= 3 a (2 a + 1) + 5 (2 a + 1)

Factor out common term

2 a + 1

= (2 a + 1) (3 a + 5)

3 \frac{2}{8}

(x^{2} - 5) (3 x + 2)

\frac{20 + 40 x}{20 x}

\frac{2}{6} + \frac{1}{2}

x^{- 1 + 1}