SOLUTION: how to simplify fully: 3x^2-75 ----------- 4x^2-17x-15 The ^2 means squared

Question 230540: how to simplify fully:
3x^2-75
-----------
4x^2-17x-15

The ^2 means squared
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
To simplify/reduce any fraction, cancel common factors. And to do this we have to have factors. So we start by factoring:

Now that it's factored, we can see that there is a common factor, (x-5), which we can cancel:

leaving:

Nothing else cancels. (Note: The 3's do not cancel. The one on top is a factor but the one one the bottom is not.)
All that is left is to multiply out the numerator:

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