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Expand (X-3)^5 using binomial theorem

User Laurenz
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1 Answer

6 votes

We have to expand the expression


(x-3)^5

Using the binomial theorem. Let us remember what says the Binomial theorem

Let a and b real numbers and n a natural number then we have the next formula:

Now in our particular problem we have to identify the terms in the formula, and then apply it.

Therefore, to find the expansion we have to calculate the combinatorial coefficients, for that, we will use the formula given in the first draw, as follows:

Now, with this terms, we will apply the formula to find:

Where the final line in the last equation is the expansion required.

Expand (X-3)^5 using binomial theorem-example-1
Expand (X-3)^5 using binomial theorem-example-2
Expand (X-3)^5 using binomial theorem-example-3
Expand (X-3)^5 using binomial theorem-example-4
User Sidhshar
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