Expansion of a Binomial Expression

Hi Theetso, let's solve this expansion problem together. We need to expand and simplify the binomial expression x minus two raised to the fourth power.

The most efficient way to expand a power of a binomial is using the Binomial Theorem.

In our case, a is x, b is negative two, and the power n is four.

Let's find the coefficients for the fourth power. We can use the fourth row of Pascal's Triangle, which gives us one, four, six, four, and one.

Now we set up the expansion by applying these coefficients to decreasing powers of x and increasing powers of negative two.