Question

Find the product for these expressions:

1. {(x+3) + y}^3
2. (a^(x+1) + b^(x-2))(a^(x+1) - b^(x-2))

In number 2, I came up with a^(x+1)^2 - b^(x-2)^2 but am little apprehensive about this. I hope you can enlighten me on both numbers.

Answer 1

For #2, you have the difference of squares pattern, so

your answer is correct, although I would put brackets around the power.

( a^(x+1))^2 - (b^(x-2))^2
or
a^(2x+2) - b^(2x-4)

for a), I answered that same question yesterday, although it is hard to tell if that was your question since you don't give yourself a name.