Answer:
8y3 +6y2- 29y +15
Step-by-step explanation:
(4y − 3)(2y2 + 3y − 5)
8y3 + 12y2 -20y -6y2 -9y +15
8y3 +6y2- 29y +15
Answer: The correct option is
(D) [tex]8y^3+6y^2-29y+15.[/tex]
Step-by-step explanation: We are given to find the following product :
[tex]P=(4y-3)(2y^2+3y-5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
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 :
[tex]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.[/tex]
Thus, the required product is [tex]8y^3+6y^2-29y+15.[/tex]
Option (D) is CORRECT.
