Question

Please refer to the photo!!’n which expression is the product of (3x-2)(x^2-2x+3)

Answer 1

C

Explanation:

`(3x-2)(x^2-2x+3)`

`3x(x^2)-3x(2x)+3x(3)-2(x^2)-2(-2x)-2(3)`

`3x^3-6x^2+9x-2x^2+4x-6\\`

Now, combine like terms

`3x^3-6x^2-2x^2+9x+4x-6`

`-6x^2-2x^2=-8x^2\\\\9x+4x=13x`

Thus, we have:

`3x^3-8x^2+13x-6`

So the answer is C. Hope this helps.

Answer 2

3rd option

Explanation:

(3x - 2)(x² - 2x + 3)

each term in the second factor is multiplied by each term in the first factor , that is

3x(x² - 2x + 3) - 2(x² - 2x + 3) ← distribute parenthesis

= 3x³ - 6x² + 9x - 2x² + 4x - 6 ← collect like terms

= 3x³ - 8x² + 13x - 6