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)

r^{2} - 0.2 r + 0.01 = 0

2 x^{2} + 6 x - 9 < 0

- 9 m - 27 n

2 x - 16 = 2

100 m^{4} - 81