What is factor 4x^2+8x+3 ?

The solution to factor 4x^2+8x+3 is (2x+1)(2x+3)

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factor 4x^2+8x+3

factor

4 x^{2} + 8 x + 3

(2 x + 1) (2 x + 3)

Solution steps

4 x^{2} + 8 x + 3

Break the expression into groups

= (4 x^{2} + 2 x) + (6 x + 3)

Factor out

2 x

from

4 x^{2} + 2 x : 2 x (2 x + 1)

Factor out

3

from

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

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

Factor out common term

2 x + 1

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

k^{2} - 15 k + 50

10 x^{2} - 35 x - 20

18 n^{2} + 55 n + 25

5 b^{2} - 4 = 41

2 t^{2} - 5 t - 3 = 0