How do I simplify this expression?

Question

Please help me to understand how I would simplify this expression: g(12+g) -9g -17

Answer 1

To simplify, you have to follow the order of operations.

  For this problem, you have to deal with your parentheses first, or in other words, distribute the first g to everything inside the parentheses.  (you know to distribute because the g is right next to the parenthesis; you can distribute g(12+g) but NOT g+(12+g) 

g(12+g) -9g -17

12g+gxg-9g -17

Now simplify any multiplication, remember that gxg=g²

12g+g²-9g -17

You can add or subtract anything with like terms ?(12g-9g).  g and g² UNlike terms so do NOT combine.

12g+g²-9g -17 

g²+3g -17