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La expresión
se expande a
.
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To expand
, we can use the binomial theorem or simply apply the formula for squaring a binomial:
. Here,
and
. So we have:
Calculating this gives:
Hence, the expanded form is
.
Now let’s say you want to visualize this expression’s growth. By plugging in different values for
, you can see how quickly it rises, especially for larger values of
. For example, if
, the result is significantly larger compared to smaller values.
It’s crucial to remember that squaring a binomial involves careful multiplication. A common mistake is to simply square the first and last term without including the middle term’s contribution (the
part). Always double-check your work by redoing the multiplication step if you’re in doubt!