Question 1151220
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ASSUMING that the terms are written in standard from, with decreasing powers of the variable....<br>
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.
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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<br>
{{{C(5,1)*((5x)^1)*((3)^4) = (5)(5x)(81) = 2025x}}}<br>