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

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

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factor 2a^2-a-3

factor

2 a^{2} - a - 3

(a + 1) (2 a - 3)

Solution steps

2 a^{2} - a - 3

Break the expression into groups

= (2 a^{2} + 2 a) + (- 3 a - 3)

Factor out

2 a

from

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

Factor out

- 3

from

- 3 a - 3 : - 3 (a + 1)

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

Factor out common term

a + 1

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

16 - 9

\frac{12 x ^{3} + 7 x ^{2} + 9 x + 2}{4 x + 1}

\frac{12 q ^{3}}{( 3 q ^{2} ) ^{5}}

\frac{4}{7} + \frac{7}{2} + \frac{3}{5}

\frac{256}{64}