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Multiply and simplify ...

(4x-2) (3x^2-2+1)

12x^3-8x+4x-6x^2+4-2

Simplify

= 12x^3-6x^2-4x+2

12x^3 - 14x^2 + 8x - 2 = 2 (6x^3 - 7x^2 + 4x - 1)

(4x-2) (3x^2-2x+1)

Multiply the first term from the first bracket by every term in the second bracket:

4x * 3x^2 = 12x^3

4x * - 2x = - 8x^2

4x * 1 = 4x

Multiply the second term from the first bracket by every term in the second bracket:

-2 * 3^2 = - 6x^2

-2 * - 2x = 4x

-2 * 1 = - 2

Add the results together:

12x^3 + - 8x^2 + 4x + - 6x^2 + 4x + - 2

12x^3 - 8x^2 + 4x - 6x^2 + 4x - 2

12x^3 - 8x^2 - 6x^2 + 4x + 4x - 2

12x^3 - 14x^2 + 8x - 2

Find a common factor to simplify:

Common Factor = 2

Divide everything by 2.

2 (6x^3 - 7x^2 + 4x - 1)