How do you expand #(x^2+3)^6#?
2 Answers
Explanation:
It's easy to generate the
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
Now we can just write
Note how the exponents on
In our problem we have
Some arithmetic later,
The answer is
Explanation:
Apply the binomial expansion (or you can use Pascal's triangle)
Where,
Here,
and
Therefore,