Question

Find the product of (2x − 3)(2x2 + 7x − 1).
A:4x3 − 6x2 − 9x + 3
B:4x3 + 8x2 − 23x + 3
C:4x3 + 20x2 − 9x + 3
D:4x3 − 6x2 − 23x + 3

Answer 1

Answer:

B. 4 x^3 + 8 x^2 - 23 x + 3

Step-by-step explanation:

Expand the following:

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

| | | | 2 x | - | 3

| | 2 x^2 | + | 7 x | - | 1

| | | | -2 x | + | 3

| | 14 x^2 | - | 21 x | + | 0

4 x^3 | - | 6 x^2 | + | 0 | + | 0

4 x^3 | + | 8 x^2 | - | 23 x | + | 3:

Answer: 4 x^3 + 8 x^2 - 23 x + 3

Answer 2

B. $4x^{3}+8x^{2} -23x+3$

What is product of expressions ?

The process in which we are multiplying two given expressions consist of all their variables and constants is called the product of expressions.

How to expand the product of given expressions ?

Given product is $(2x-3)(2x^{2}+7x-1)$

Now expanding it, we get,

                            = $2x(2x^{2}+7x-1)-3(2x^{2}+7x-1)$

                            = $4x^{3}+14x^{2}-2x-6x^{2}-21x+3$

                            = $4x^{3}+8x^{2} -23x+3$

Learn more about product of expressions here :

https://brainly.com/question/1852123

#SPJ2