15 point question! multiply and simplify. (4x−2)(3x^2−2x+1)

To answer this, first, you need to multiply the first bracket to the second bracket. Then, it will show like this: 4x(3x^2)-4x(2x)+4x(1)-2(3x^2)-2(-2x)-2(1)= 12x^3-8x^2+4x-6x^2+4x-2.
Then simplify them by adding or subtracting the same objects (same exponents and same variables). If they don't have the same objects, just let them be.
The final answer will be: -12x^3-14x^2+8x-2

The correct answer is 12x³-14x²+8x-2.

Explanation:
We use the distributive property:
4x*3x² - 4x*2x + 4x*1 - 2*3x² - 2*(-2x) - 2*1 = 12x² - 8x² + 4x - 6x² + 4x - 2.

Combining like terms, we have 12x³-14x²+8x-2.