What is factor 4x^2-4x-3 ?

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

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factor 4x^2-4x-3

factor

4 x^{2} - 4 x - 3

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

Solution steps

4 x^{2} - 4 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)

y^{2} + 16 = 0

\frac{- 8}{( - \frac{12}{13} )}

\frac{2 n ^{2}}{n}

\frac{1}{3} + \frac{1}{15}

\frac{5 a}{10 a}