Question

Simplify? `abs(abs(x-2)-7)-abs(7-abs(x-5))`

Answer 1

I'm not sure how much simpler this can get.

Explanation:

Here's a graph of the expression above:
graph{abs(abs(x-2)-7)-abs(7-abs(x-5)) [-13.58, 18.46, -7.04, 8.98]}
To simplify the expression means to find a more concise way of recreating this graph. Shorter instructions that produce the same result, if you will.

WIth the graph as complicated as it is, it's hard to see how the expression could be any simpler and still give the same output. If you have other examples of similar absolute value expressions getting simplified, perhaps we could look at how they are done and use similar strategies on this one.