n)

To expand , you can use the binomial theorem or simply apply the formula for squaring a binomial, which is . Here, and . So, you get , which simplifies to .

Now, let’s talk about the real-world applications of expanding binomials like this. You might encounter this in physics when calculating distance, where you need to square variables that represent different dimensions. Similarly, in economics, you could model growth trends by using quadratic equations derived from such expansions.

When expanding binomials, one common mistake is forgetting to square the second term—it’s easy to catch, especially with square roots involved! Always double-check that you’ve applied both and the cross-product correctly; these little details can lead to big changes in your final result!