Algebraic Manipulation

Amendments to worksheet  Pg 3 Example 2:  Pg 3 Example 3:

Useful Shortcuts (Identities) 1. a – b = –(b – a) 2. –a – b = –(a + b) 3. (a + b)(a – b) = a 2 – b 2 4. (a + b) 2 = a 2 + 2ab + b 2 5. (a – b) 2 = a 2 – 2ab + b 2

(1) Simplifying Algebraic Fractions Simplify

(2) Multiplying and Dividing Algebraic Fractions What did we do to 18, 35, 49 and 27? Re-write them as a product of their factors

Simplify

Useful Shortcut Prove!

(3) Addition and Subtraction of Algebraic Fractions How do you add the following fractions: Find the lowest common denominator of both fractions and combine to a single fraction

Simplify

OR

(4) Solve equations involving algebraic fractions Solve the equations

Solve the equation