What is factor 8x^3-4x^2-2x+1 ?

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

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factor 8x^3-4x^2-2x+1

factor

8 x^{3} - 4 x^{2} - 2 x + 1

(2 x - 1)^{2} (2 x + 1)

Solution steps

8 x^{3} - 4 x^{2} - 2 x + 1

= (8 x^{3} - 4 x^{2}) + (- 2 x + 1)

Factor out

4 x^{2}

from

8 x^{3} - 4 x^{2} : 4 x^{2} (2 x - 1)

Factor out

- 1

from

- 2 x + 1 : - (2 x - 1)

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

Factor out common term

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

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

Factor

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

= (2 x - 1) (2 x + 1) (2 x - 1)

Apply exponent rule:

aa = a^{2}

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

= (2 x - 1)^{2} (2 x + 1)

2 4^{2} + 1 0^{2}

8 y^{2} - 18

\frac{121}{100}

\frac{7}{56}

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