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9-8 Special Products Objective: To identify and expand the three special products

Today we are going to learn… 3 Special products: Remember: products means we’re multiplying They are special because we can use them as shortcuts The box method will still work

SQUARE OF A SUM (a + b) 2 = ( )( ) = a + b a a b b ab a2a2 b2b2 a 2 + 2ab + b 2

Multiply (2a + 3) a 2 – a a a a a + 9

SQUARE OF A DIFFERENCE (a – b) 2 = ( )( ) = a – b a a -b -ab a2a2 b2b2 a 2 – 2ab + b 2

Multiply (x – y) 2 1. x 2 + 2xy + y 2 2. x 2 – 2xy + y 2 3. x 2 + y 2 4. x 2 – y 2

DIFFERENCE OF SQUARES (a + b)(a – b) = a a b -b ab -ab a2a2 -b 2 a 2 – b 2

Multiply (4m – 3n)(4m + 3n) 1. 16m 2 – 9n m 2 + 9n m 2 – 24mn - 9n m mn + 9n 2

EXAMPLES 1) (x – 6) 2 2) (3p + 4) 2 3) (3 – 5x 2 )(3 + 5x 2 ) x 2 – 12x p p – 25x 4

EXAMPLES 4) (4a – 3b) 2 16a 2 – 24ab + 9b 2 5) (m + 5) 2 m m ) (8a – 7b)(8a + 7b) 64a 2 – 49b 2 7) (6c + 10)(6c – 10) 36c 2 – 100

Homework 9-8 Practice

BIG BABY PROBLEM!