SOLUTION: I am having trouble understanding how to solve this question. Please help me. Find the fifth term of the binomial expansion of (4x-3y)^7 Thank you kindly

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am having trouble understanding how to solve this question. Please help me. Find the fifth term of the binomial expansion of (4x-3y)^7 Thank you kindly      Log On


   

Question 986566: I am having trouble understanding how to solve this question. Please help me.
Find the fifth term of the binomial expansion of (4x-3y)^7
Thank you kindly
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
%284x%29%5E3%2A%28-3y%29%5E4
Simplify this. The term was built simply following the formula.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
I am having trouble understanding how to solve this question. Please help me.
Find the fifth term of the binomial expansion of (4x-3y)^7
Thank you kindly
For this problem, the formula to determine a specific term in a Bernoulli/Binomial expansion should be used. It states:

%28a+%2B+b%29%5En+=%22+%22%5Bn%5DC%5Br+-+1%5D%28a%29%5E%28n-%28r-1%29%29%28b%29%5E%28r-1%29, where r = term number. Since you're seeking the

5th term, %28a+%2B+b%29%5En+=%22+%22%5Bn%5DC%5Br+-+1%5D%28a%29%5E%28n-%28r-1%29%29%28b%29%5E%28r-1%29 becomes:

5th term of 

Performing the calculations, you should get the 5th term as: highlight_green%28181440x%5E3y%5E4%29