SOLUTION: What is the coefficient of x^5 in the expansion of (x+3)^8?
Algebra.Com
Question 74227: What is the coefficient of x^5 in the expansion of (x+3)^8?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The binomial expansion uses Pascal's triangle to find the coefficients. The general form of the expansion (x+y)^n is
Where 
is the coefficient. So we would use Pascals triangle to find the coefficients.
If you look at the 8th row of Pascal's triangle you would see
1 8 28 56 70 56 28 8 1
So each number in this row is our which is to be multiplied by our terms.
So our expansion is 
And we can see that 56*3^3 is our coefficient. Or in other words since our fifth term is
our coefficient is 1512
RELATED QUESTIONS
in the binomial expansion of (x+y)^8 what is the coefficient of the term containing x^3... (answered by edjones)
What is the coefficient of x^8 in the expansion of (x +... (answered by robertb)
what is the coefficient of x^8 in the expansion of (x^2 +... (answered by stanbon)
What is the coefficient of x^-5 in the expansion of (x^3 -... (answered by robertb)
What is the coefficient of x^2 in the expansion of (2 +... (answered by amfagge92)
what is the coefficient of x^7 y in the expansion of... (answered by greenestamps)
Find the coefficient of the x^8 term in the expansion of (x + 3)^17 (answered by MathLover1)
Find the coefficient of the {{{ x^8 }}} term in the expansion of {{{ (x+3)^17... (answered by Boreal)
Coefficient of x in expansion of... (answered by Alan3354)