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

Given:

Expression (4y - 3)(2y² + 3y - 5)

To find:

Simplified form of the given expression

Solution:

(4y - 3)(2y² + 3y - 5) = 4y(2y² + 3y - 5) - 3(2y² + 3y - 5) [By distributive property]

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

                                = 8y³ + (12y² - 6y²) - (20y + 9y) + 15 [By adding like terms]

                                = 8y³ + 6y² - 29y + 15

Option (4) is the correct option.