Expand Binomial Expression (4x-1)^5 using Binomial Theorem

Published on June 9, 2026

Algebra

Learn to expand the binomial expression (4x-1)^5 using the Binomial Theorem, applying combinations and powers. See step-by-step calculation for each term.

Question

Answer

To expand the expression

using the Binomial Theorem, we use the general formula:

In this problem, we have:

The expansion will have

terms. Let’s calculate each term step by step:

For :
For :
For :
For :
For :
For :

Combining all these terms, we get the full expansion:

Filling in the boxes from the image:

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