could someone help me with math?

Question

Multiply and simplify.

(y+1)^2-(y+2)^2+(y+3)^2

 

 

Answer 1

First, we need to mutiply each quadratic expression out (i.e., the FOIL method):

 

(y + 1)² - (y + 2)² + (y + 3)²

(y² + 2y + 1) - (y² + 4y + 4) + (y² + 6y + 9)

 

We then distribute the negative sign to the terms in the second group:

 

y² + 2y + 1 - y² - 4y - 4 + y² + 6y + 9

 

Then, combine like terms:

 

y² + 4y + 6