1. OTCQ Simplify x 3 * x 4 ÷ x 7 =

2. Aim 2-4 How do we add/subtract Rational Expressions With Like Denominators? Hwk: read 2-4 and do problems 1- 10 on page 75

3. Objectives - SWBAT add/subtract Rational Expressions With Like Denominators Hwk: read 2-4 and do problems 1- 10 on page 75

4. What conditions need to be met before two fractions can be added or subtracted? Fractions must have the same denominator before they can be added or subtracted. You can add and subtract rational expressions with like denominators in the same way. Add the numerators and write the sum over a common denominator. Answers should always be expressed in simplest form.

5. The common denominator is 12. Add the numerators. Divide by the common factor of 4. 2 3 Simplified answer

6. Add the numerators. Any common factors to be divided? No! The 9 in the numerator is a TERM. Terms can’t be cancelled; only factors can be cancelled! The rational expression is in simplest form. The common denominator is 9.

7. Sometimes the denominators of rational expressions are binomials. As long as each rational expression has exactly the same binomial denominator, the process of addition is the same. The common denominator is 3 + y. Factor the numerator. Divide by the common binomial factor.

8. The common denominator is 33x + 9. Add the numerators. Divide by the common factor of 3. Simplified answer

9. Opposite Sign Denominators Rewrite in good form with variable first. Factor out -1 from the denominator. Subtraction is the same as adding the opposite. Subtract. Negative monomial in numerator-- bring the negative sign out front of the rational expression. The denominators are opposite binomials (also known as inverse denominators).

10. Rewrite in good form with variable first. Factor out -1 from the denominator. Subtracting a negative is the same as addition. Add. Factor the numerator to determine if there are common factors to be divided out. The denominators are opposite binomials (also known as inverse denominators).

11. When subtracting rational expressions with like denominators, place the subtracted quantity in parentheses. Then distribute the negative.

12. Put the subtracted quantity in parentheses. Distribute the negative. Factor the numerator and the denominator. X-box is necessary in the denominator. Divide out common factors.

13. Put the subtracted quantity in parentheses. Distribute the negative. Factor the numerator and denominator—remember to do the X-box. Divide out common factors.

14. Aim 2-4 How do we add/subtract Rational Expressions With Like Denominators? Hwk: read 2-4 and do problems 1- 10 on page 75