Question

Simplify the expression, if possible. State the excluded values,if any.

Answer 1

5.            5x-5 
.       ------------------
.        10x²-25x+15

We can first factor 10x²-25x+15, it will turn into (2x-3) and (5x-5) 
  (if you need help on factoring, please leave a comment)

So the question will be like:
.            5x-5
.        ---------------                  
.       (2x-3)(5x-5)               The factored answer is the same as the original           .                                         number, so the factor answer can replace it.

We know 5x-5 on the top and 5x-5 on the bottom is the same, so they can cancel out, and it will become:
2x-3=0 

Then solve
2x-3=0 
2x=3
x=2/3

6.

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(if you need more explanations, please leave a comment)