What is factor 4c^2+4c-3 ?

The solution to factor 4c^2+4c-3 is (2c-1)(2c+3)

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factor 4c^2+4c-3

factor

4 c^{2} + 4 c - 3

(2 c - 1) (2 c + 3)

Solution steps

4 c^{2} + 4 c - 3

Break the expression into groups

= (4 c^{2} - 2 c) + (6 c - 3)

Factor out

2 c

from

4 c^{2} - 2 c : 2 c (2 c - 1)

Factor out

3

from

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

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

Factor out common term

2 c - 1

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

3 (x + 5) = 27

(\frac{x - 4}{2})^{2} - 2 (\frac{x - 4}{2}) + 65 = 0

3 m^{3} + 6 m^{2}

36 x^{2} - 4

10 q r - 20 q - 21 r + 42