What is factor 2x^3-ax^2+ax-2 ?

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

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factor 2x^3-ax^2+ax-2

factor

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

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

Solution steps

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

Rewrite as

= 2 x^{3} - a x^{2} + a x - 2 \cdot 1

Factor out common term

2

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

Factor

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

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} = xx

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

Factor out common term

x a

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

Rewrite as

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

Factor out common term

(- 1 + x)

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

rec t (x)

(- 14 a^{5} - 16 b^{2} - 18 c^{2})^{5}

4 a 4 + 3 a 2 b + 9 b^{4}

1.1 + 14 x 2 y + 49 x 4 y 2

6 x^{2} + 1 - 23

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