What is factor 8k^2-2k-3 ?

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

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factor 8k^2-2k-3

factor

8 k^{2} - 2 k - 3

(2 k + 1) (4 k - 3)

Solution steps

8 k^{2} - 2 k - 3

Break the expression into groups

= (8 k^{2} + 4 k) + (- 6 k - 3)

Factor out

4 k

from

8 k^{2} + 4 k : 4 k (2 k + 1)

Factor out

- 3

from

- 6 k - 3 : - 3 (2 k + 1)

= 4 k (2 k + 1) - 3 (2 k + 1)

Factor out common term

2 k + 1

= (2 k + 1) (4 k - 3)

(4 x - 1)^{2} - (x - 2)^{2} = 9

\frac{3}{4} \cdot \frac{5}{3}

∣ x - 4 ∣ - ∣ x + 2 ∣ = 6

x^{2} + 4 = 2 x^{2}

11 (4 c d) (- c d^{5})