What is factor 10x^2-x-3 ?

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

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factor 10x^2-x-3

factor

10 x^{2} - x - 3

(2 x + 1) (5 x - 3)

Solution steps

10 x^{2} - x - 3

Break the expression into groups

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

Factor out

5 x

from

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

Factor out

- 3

from

- 6 x - 3 : - 3 (2 x + 1)

= 5 x (2 x + 1) - 3 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (5 x - 3)

\frac{\frac{4}{5}}{\frac{6}{7}}

(ab)^{2}

4 k^{2} + 4 k + 1

3 y = 12

3 (1)^{2} - 12 (1) + 9