Question

What is (2y + 5)(y - 3) in simplified form using the distributive property​

Answer 1

2y2 – y – 15

Explanation:

(2y + 5)(y – 3)

= 2y(y – 3) + 5(y – 3)

= 2y2 – 6y + 5y – 15

= 2y2 – y –15

Answer 2

`\boxed{2y^(2) - y - 15}`

Explanation:

Use the FOIL technique in order to distribute the terms properly. FOIL stands for First Terms, Outside Terms, Inside Terms, and Last Terms. In order to properly distribute, multiply the common terms based on the steps in the FOIL technique. So, in this case:

• The first terms are 2y and y.
• The outside terms are 2y and -3.
• The inside terms are 5 and y.
• The last terms are 5 and -3.

Therefore, multiply the terms:

• 2y and y to get 2y²
• 2y and -3 to get -6y
• 5 and y to get 5y
• 5 and -3 to get -15

Then, add or subtract based on the signs:

2y² - 6y + 5y - 15

Then, add like terms to finish simplifying the expression. This leaves you with 2y² - y - 15.