MaplePrimes Questions

Hello, I have never used Maple before and I am working on an assignment but unfortunately class ended before I could ask my professor with some help so I was hoping someone on here might be able to help me out. All I need to do is get the first equation to look like the second equation, I would use the simplify command but I cannot break apart the l(l+1), can anyone help me out?

Equation 1:


Need it to look like this:


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I want to tell maple that func is a function of x, y, z, but I don't know what the function is. This is so when maple evaluates derivatives, etc, it won't assume 'func' is a constant. ie: instead of func := (x,y,z) -> x^2 + 2y + 3xyz; I just want to say func : = (x,y,z); so that when I ask for a derivative, maple just prints out 'diff(func, x, 1) etc, where 'diff(func, x, 1) means the first partial deriv of x. I hope that's clear enough for all you experts out there. I am a newbie to Maple. I tried func : = (x,y,z); but it did not seem to work for me.... Thanks in advance,
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