What is factor (2x^2+5x)-3 ?

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

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factor (2x^2+5x)-3

factor

(2 x^{2} + 5 x) - 3

(2 x - 1) (x + 3)

Solution steps

(2 x^{2} + 5 x) - 3

Remove parentheses:

(a) = a

= 2 x^{2} + 5 x - 3

Break the expression into groups

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

Factor out

x

from

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

Factor out

3

from

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

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

Factor out common term

2 x - 1

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

260 - 3 x^{2} - x^{3} - 2

2 y - 2 d y

(y^{2} - 5 x y + x^{2}) + (x - y)

(3 (a + b) - b) (3 (a + b) + b)

\frac{192000}{3300}