9.5 Adding and Subtracting Rational Expressions (Day 1)

Fractions Review: Simplify. 1. 2. Could I choose 30? (3) (5) 3.

2. Steps for simplifying an Add/Subtract Rational Expression 1. Get the LCD 2. Get the LCD on each term 3. Simplify the TOP (Multiply out the ( ), add/subtract like terms.) 4. Factor and Cancel (if possible) White Boards 2.

Steps for simplifying an Add/Subtract Rational Expression 1. Get the LCD 2. Get the LCD on each term 3. Simplify the TOP (Multiply out the ( ), add/subtract like terms.) 4. Factor and Cancel (if possible) White Boards

Simplify. White Boards

Simplify. White Boards 8. 3 (x+4)

9.5 Adding and Subtracting Rational Expressions (Day 2)

Simplify. Is it hard to find the LCD of 24 and 36? 24 36 6 4 6 6 3 2 2 Finding the LCM can make a little more sense after just doing the addition and subtraction problems and understanding what it means to answer the question, “what does the one denominator have that the other doesn’t?” “greatest # of times it occurs in either one” 6 4 6 6 3 2 2 2 2 3 2 3 Or list the multiples of the smaller factor… 24,48, 72 72 is the first number that 24 and 36 go into

Find the least common multiples (LCM) of each pair of polynomials. Step 1: Find the prime factors of each expression. Step 2: The LCM is the greatest number of times each factor appears in either expression.

Find the least common multiples (LCM) of each pair of polynomials. 3. 2x2 – 8x + 8 and 15x2 – 60 White Boards 2(x2 – 4x + 4) 15(x2 – 4) 2(x – 2)(x – 2) 15(x + 2)(x – 2) 2(x – 2)(x – 2)15(x + 2) 30(x – 2)2(x+2) 4. 3x2 – 9x – 30 and 6x + 30 3(x2 – 3x – 10) 6(x + 5) 3(x + 2)(x – 5) 6(x + 2)(x – 5)(x + 5)

(x) Simplify each complex fraction. Complex Fraction: a fraction that has a fraction in its numerator or denominator or in both its numerator and denominator Step 1: First simplify the numerator and denominator. (x) •

Simplify each complex fraction. White Boards • (y) (x) • (2x)

Simplify each complex fraction. • (y) (x) Simplify. (Review) White Boards 4 (x-3)