Select the correct answer. What is the simplest form of this expression? (2x - 3) (3x2 + 2x - 1) A. 6x3 - 5x2 - 8x + 3 B. 6x3 - 5x2 - 6x + 2 C. 6x3 - 9x2 - 4x + 3 D. 6x3 - 2x2 - 8x + 3

Answer: A. 6x3 - 5x2 - 8x + 3

Step-by-step explanation: this is a multiplication (2x - 3) = A (3x2 + 2x - 1) = B, so we are going to multiply each value from A with every value of B

for example you can start 2X from A

2X. 3X2 = 6X3

2X. 2X = 4X2

2X. - 1 = - 2X

now with - 3

-3. 3X2 = - 9X2

-3. 2X = - 6X

-3. 1 = - 3

mow we can put every value in one equation

6X3 + 4X2 + 2X - 9X2 - 6 X - 3

after that, you can simplify the common values for example

4X2 - 9X2 = - 5x2

- 2X - 6 X = - 8x

this the last equation that we get after simplify

6x3 - 5x2 - 8x + 3

Step-by-step explanation:

So the 2 expressions are being multiplied:

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

(2x) 3x2) = 6x^3

(2x) (2X) = 4X^2

(2X) (-1) = -2X

(-3) (3X^2) = -9X^2

(-3) (2X) = -6X

(-3) (-1) = 3

Now add all of the products together to get the final answer =

6x^3-5x^2-8x+3