what is equivalent to (5y-2)(3-2)+(6y-7)(y+3)

Question

i dont know how to solve it so i want to see how to solve the question.

Answer 1

Hi Nayeli.

 

Do you use the term FOIL at your school as a desciption of how to multiply these?

 

It stands for

F first

O outer

I inner

L last

 

This is how you multiply each pair.

 

(5y - 2)(3-2) = (5y - 2) (1)   (Are you sure that should be (3 - 2) and not something with x's and/or y's?)

 

=5y -2

 

The (6y - 7) (y+3) =

 

First: 6y²

Outer: (6y)(3) = 18y

Inner: (-7)(y) = -7y

Last:  (-7)(3) = -21

 

Putting these together we get:

 

6y²+18y-7y-21

 

Combine like terms

 

6y²+11y-21

 

Putting the first two multipliex terms together with these two multiplied terms,  we get

 

5y - 2 + 6y² +11y - 21

 

Combine the like terms here and get a final answer of

 

6y² + 16y - 23