Question

Multiply the binomials:

Answer 1

Answer:2
`y^(2)`+y-15

Explanation:

(using distributive property)

(y+3)(2y-5)

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

2y^2-5y+6y-15

2y^2+y-15

Answer 2

2y² + y - 15

Explanation:

Concepts

Multiplying Binomials:

To multiply binomials, it's best to use the FOIL method, which stands for First, Outside, Inside, and Last. Let's analyze the first, outside, inside, and last term in the binomial we're given by bolding them (in addition, the numbers we bolded are the numbers we multiply; i.e. for the first term, we multiply y and 2y):

• First: (y + 3)(2y - 5)
• Outside: (y + 3)(2y - 5)
• Inside: (y + 3)(2y - 5)
• Last: (y + 3)(2y - 5)

Solving

Solving the Binomial

Step 1: Apply FOIL method.

• 
  `(y)(2y) + (y)(-5) + (3)(2y) + (3)(-5)`
• 
  `2y^2 -5y +6y -15`

Step 2: Simplify.

• 
  `(2y^2)+ (-5y+6y)+(-15)`
• 
  `2y^2+y-15`

Therefore, the answer is 2y² + y - 15.