Question

Multiply and simplify:
(x²+2x+2)(x²-2x+2) Please explain how you did it! Thank you!

Answer 1

Do you know how to multiply (a + b + c )(d + e + f) ?

Answer 2

I used to but I don't remember a lot that I learned.

Answer 3

Do you know how to multiply ( a + b) ( c + d) ?

Answer 4

Yes, its ac+ad+bc+dc, I think

Answer 5

Correct!

The same idea applies to the problem you posted.

It might help to write it as

a(d + e + f )
+
b(d + e + f)
+
c(d + e + f)

and then collect alllll the terms. :)

Answer 6

Start with the first term of the first parenthesis and multiply it by everything in the 2nd.
Then do the same thing with the second term of the first parenthesis.
Then do the same thing with the third term of the first parenthesis.

That's the "multiply" part of the problem. Just multiply everything in the 1st by everything in the 2nd.

Add together all three of those things, and group the terms that have the same exponent for x.

So if you get ax^2 + bx^2, write it as (a+b)x^2 instead. Or if you get +3 -2, rewrite it as +1. That's the "simplify" part of the problem.