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Popular >

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

Solution

factor

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

Solution

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

Solution steps

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

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

Factor out

x^{2}

from

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

Factor out

- 1

from

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

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

Factor out common term

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

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

Factor

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

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

Popular Examples

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e^{3 πi}

simplify 1/(2^{-1)}simplify

\frac{1}{2 ^{- 1}}

factor 25b^2-9 factor

25 b^{2} - 9

4 (x - 5)^{2} - 21 = - 5

simplify 7/(1/2)simplify

\frac{7}{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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