could someone help me with math?

Question

Multiply and simplify.
(y+1)^2-(y+2)^2+(y+3)^2

 

im so confused please help me

Answer 1

First, you have to square the binomial (y+1).  Do you know how to do it, efficiently?  You'll get a trinomial: y squared, then +2(1)y, the middle term, and finally 1 (1 squared).  You should not have to do that by FOILING (y+1)(y+1) because all Algebra students need to memorize the procedure for squaring a binomial in order to be efficient and to grow the skills.

In short, this first job gives y² +2y + 1.

 

Similarly by squaring the other two binomials you get:

y² +4y + 4 and

y² +6y + 9.

 

Now it's just a matter of COMBINING LIKE TERMS, which I leave for you to do.