Raising these expressions to powers of two can actually be pretty easy, for example:

\(\left(x+2\right)^2=x^2+2x+2x+4\) which then equals \(x^2+4x+4\). Yay we did it! Pretty easy. Now let’s try to take the binomial expression \(x+y\)  and raise it to the 4th power. Do we really want to do that by hand? Of course it can be done by hand but it is very tedious work. This is where Pascal’s triangle comes in handy.