Give an example of a sum of two rational expressions with different denominators, then perform the operation by showing all the steps, including how you found the common denominator. These rational expressions must have a variable in the denominator, such

Rational expression with different denominators. x/(x + 2) + x-2 /( x+3) we find the LCD which is (x+2)(x+3) here making these like fractions.. so that we can add x(x+3)/(x+2)(x+3) + (x-2)(x+2) / (x+3)(x+2) x^2 + 3x / (x+2)(x+3) + x^2 – 4 / (x+2)(x+3) x^2 + 3x + x^2 – 4 / (x+2)(x+3) 2x^2 + 3x – 4 / (x+2)(x+3) LCD is found by finding the factors of the denominators just as we do in the case of fractions. Example for classmates… Add x – 2 / x^2 – 4 + (x + 3) / (x – 2) Rational Expression can be used in real life where we need to solve for questions which involve fractions. Example: Speed, Distance Cases, or Time and work Cases. Here is a number game that uses the skills of simplifying rational expressions. Take any number (except for -4) and add 2. Next, multiply by 2 less than the number. Add 3 times the original number. Divide by 4 more than the original number. Finally, add 1. You should be back where you started! Here it is with symbols: Take any number (except for -4) and add 2. x x+2 Next, multiply by 2 less than the number. (x+2)(x-2) = x^2 - 4 Add 3 times the original number. x^2 + 3x - 4 = (x+4)(x-1) Divide by 4 more than the original number. (x+4)(x-1)/(x+4) = x-1 Finally, add 1. You should be back where you started! x