SOLUTION: Simplify x^(2)-3x-(10)/(x+(3)/(2x^(2)-7x-(15)/(x^(2-9)

Algebra ->  Real-numbers -> SOLUTION: Simplify x^(2)-3x-(10)/(x+(3)/(2x^(2)-7x-(15)/(x^(2-9)      Log On


   



Question 1105072: Simplify x^(2)-3x-(10)/(x+(3)/(2x^(2)-7x-(15)/(x^(2-9)
Answer by greenestamps(13206) About Me  (Show Source):
You can put this solution on YOUR website!


There is no need to enclose exponents in parentheses. Write "x^2" instead of "x^(2)".
And there certainly is no need to enclose the constant term in a polynomial in parentheses. Write "x+3" instead of "x+(3)".
BUT there IS a need to enclose polynomials in parentheses when they are the numerator or denominator of a fraction.
And you have a fraction with polynomials divided by another fraction with polynomials, so you will need parentheses around each of those fractions.

The expression should look like this:

((x^2-3x-10)/(x+3))/((2x^2-7x-15)/(x^2-9))

%28%28x%5E2-3x-10%29%2F%28x%2B3%29%29%2F%28%282x%5E2-7x-15%29%2F%28x%5E2-9%29%29

The rule for dividing fractions is flip the second fraction (find its reciprocal) and multiply:
%28%28x%5E2-3x-10%29%2F%28x%2B3%29%29%2A%28%28x%5E2-9%29%2F%282x%5E2-7x-15%29%29

Now factor all the polynomials and cancel common factors where possible. I'll get you started....



You can finish from there....