What is factor 10a^2-3a-1 ?

The solution to factor 10a^2-3a-1 is (5a+1)(2a-1)

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factor 10a^2-3a-1

factor

10 a^{2} - 3 a - 1

(5 a + 1) (2 a - 1)

Solution steps

10 a^{2} - 3 a - 1

Break the expression into groups

= (10 a^{2} + 2 a) + (- 5 a - 1)

Factor out

2 a

from

10 a^{2} + 2 a : 2 a (5 a + 1)

Factor out

- 1

from

- 5 a - 1 : - (5 a + 1)

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

Factor out common term

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

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

\frac{3}{2} x = 4

2 t^{3} - 5 t^{2} - 3 t > 0

5 x^{8} y^{2} \cdot 10 x^{3} \cdot 12 y

- 8 x < 7 - 4 x < 9 + 4 x

0 = 2 (x - 3)^{2} - 4