What is the standard form of # y= (-7x-9)^3-(2x-1)^2#?
This is a really ugly problem, but the binomial theorem helps a lot. The binomial theorem lets you raise binomials to high powers without exhausting a lot of time.
We'll tackle the cube first.
Here, we can substitute our values.
Using the binomial theorem, we can find that:
The second part is easier:
Now we add the two together: