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

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

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factor 2x^2+3x-2

factor

2 x^{2} + 3 x - 2

(2 x - 1) (x + 2)

Solution steps

2 x^{2} + 3 x - 2

Break the expression into groups

= (2 x^{2} - x) + (4 x - 2)

Factor out

x

from

2 x^{2} - x : x (2 x - 1)

Factor out

2

from

4 x - 2 : 2 (2 x - 1)

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

Factor out common term

2 x - 1

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

8 n^{3} - 7 n^{2} + 56 n - 49

- 48 - 8 n + n^{2}

5 x^{5} y^{2} - 2 x y^{3}

36 x y^{2} - 48 x^{2} y

4 (- 6 - y) + 2 = 10