What is the product?

(4y - 3) (2x (2) + 3y-5)

12y² + 16xy - 12x - 29y + 15

Step-by-step explanation:

(4y - 3) (2x · 2 + (3y - 5))

multiply 2x with 2

(4y - 3) (4x + 3y - 5)

distribute (or foil) 4y - 3 into 4x + 3y - 5

16xy + 12y² - 20y - 12x - 9y + 15

combine like terms

16xy + 12y² - 29y - 12x + 15

rearrange to the correct order

12y² + 16xy - 12x - 29y + 15

2 2

4y (2y + 3y - 5) - 3 (2y + 3y - 5)

3 2 2

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

3 2

=8y + 6y - 29y + 15