SOLUTION: how do you solve:(a+b)^10 I thought it would be a^10+b^10 but he, my teacher, told me I was Wrong.

Question 849816: how do you solve:(a+b)^10
I thought it would be a^10+b^10 but he, my teacher, told me I was Wrong.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You will either need to use Binomial Theorem or look for the pattern among coefficients and the terms of the binomial through a succession of lower power exponentiations. The LEADING term will be a^10, and the TRAILING term will be b^10.

The other terms between will have various powers of a, b, and various coefficients.

Check this link, so you do not need the chore of computing more and more cells of the triangle to get to the row corresponding to degree 10 for that product:

http://mathforum.org/workshops/usi/pascal/petals_pascal.html
Pascals Triangle showing coefficients for power of 10 for binomial exponentiation
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