SOLUTION: find the 5th term, (5x+3)^5

Question 1151220: find the 5th term, (5x+3)^5
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

find the term,
use The Binomial Theorem

the term is:

or, you can do it this way:
.....expand

so, the term is

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

ASSUMING that the terms are written in standard from, with decreasing powers of the variable....

The 1st term is obtained from choosing the "x" term from all 5 of the factors of (5x+3).
The 2nd term is obtained from choosing the "x" term from 4 of the 5 of the factors of (5x+3) in all possible ways.
...
So the 5th term is obtained from choosing the "x" term from 1 of the 5 of the factors of (5x+3) in all possible ways. So the 5th term is

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