What is factor 4n^2-8n+3 ?

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

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factor 4n^2-8n+3

factor

4 n^{2} - 8 n + 3

(2 n - 1) (2 n - 3)

Solution steps

4 n^{2} - 8 n + 3

Break the expression into groups

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

Factor out

2 n

from

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

Factor out

- 3

from

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

= 2 n (2 n - 1) - 3 (2 n - 1)

Factor out common term

2 n - 1

= (2 n - 1) (2 n - 3)

(x + 2) (x - 4) \geq 0

\frac{x ^{2} - x - 6}{x ^{2} - 5 x + 4} > 0

- 5 (- x + 1) - 3 x - 1 = - 12

\frac{14 x ^{6} y ^{3} - 49 x ^{5} y ^{9}}{- 7 x ^{4} y}

2 x^{3} - 6 x^{2} - 56 x