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Published byCathleen Franklin Modified over 8 years ago
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Warm ups
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Return Quizzes Let’s go over them!!
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9-8 Special Products Objective: To identify and expand the three special products
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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
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SQUARE OF A SUM (a + b) 2 = ( )( ) = a + b a a b b ab a2a2 b2b2 a 2 + 2ab + b 2
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Multiply (2a + 3) 2 1. 4a 2 – 9 2. 4a 2 + 9 3. 4a 2 + 36a + 9 4. 4a 2 + 12a + 9
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SQUARE OF A DIFFERENCE (a – b) 2 = ( )( ) = a – b a a -b -ab a2a2 b2b2 a 2 – 2ab + b 2
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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
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DIFFERENCE OF SQUARES (a + b)(a – b) = a a b -b ab -ab a2a2 -b 2 a 2 – b 2
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Multiply (4m – 3n)(4m + 3n) 1. 16m 2 – 9n 2 2. 16m 2 + 9n 2 3. 16m 2 – 24mn - 9n 2 4. 16m 2 + 24mn + 9n 2
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EXAMPLES 1) (x – 6) 2 2) (3p + 4) 2 3) (3 – 5x 2 )(3 + 5x 2 ) x 2 – 12x + 36 9p 2 + 24p + 16 9 – 25x 4
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EXAMPLES 4) (4a – 3b) 2 16a 2 – 24ab + 9b 2 5) (m + 5) 2 m 2 + 10m + 25 6) (8a – 7b)(8a + 7b) 64a 2 – 49b 2 7) (6c + 10)(6c – 10) 36c 2 – 100
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Homework 9-8 Practice
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BIG BABY PROBLEM!
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