Question

What is the product?

(4y − 3)(2y2 + 3y − 5)

8y3 + 3y + 15
8y3 − 23y + 15
8y3 − 6y2 − 17y + 15
8y3 + 6y2 − 29y + 15

Answer 1

Answer: The correct option is

(D)
`8y^3+6y^2-29y+15.`

Step-by-step explanation: We are given to find the following product :

`P=(4y-3)(2y^2+3y-5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To find the given product, we must multiply each term of the first expression to each term of the second expression.

The product (i) can be evaluated as follows :

`P\\\\=(4y-3)(2y^2+3y-5)\\\\=4y(2y^2+3y-5)-3(2y^2+3y-5)\\\\=8y^3+12y^2-20y-6y^2-9y+15\\\\=8y^3+6y^2-29y+15.`

Thus, the required product is
`8y^3+6y^2-29y+15.`

Option (D) is CORRECT.

Answer 2

8y3 +6y2- 29y +15

Explanation:

(4y − 3)(2y2 + 3y − 5)

8y3 + 12y2 -20y -6y2 -9y +15

8y3 +6y2- 29y +15