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Remember:

Remember:. +. +. “Neutral Pairs”. +. Introduction:. 1.  1. x.  x. 1. 1. 1. x. Area = 1  1 = 1 square unit. Area = 1  x = x square units. x 2.  x 2. x. x. Area = x  x = x 2 square units. 1. Example 1:. Simplify. (5x 2 + 2x – 5) + (-2x 2 + 3x + 1). = 3x 2.

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  1. Remember: + + “Neutral Pairs” +

  2. Introduction: 1  1 x  x 1 1 1 x Area = 1  1 = 1 square unit Area = 1  x = x square units x2  x2 x x Area = x  x = x2 square units

  3. 1 Example 1: Simplify. (5x2 + 2x – 5) + (-2x2 + 3x + 1) = 3x2 + 5x  4 Visualize. -1 x2 x2 x2 x2 x2 x -1 -1 x -1 -1 x - x2 - x2 x x Look for neutral pairs to cancel

  4. Remember: (don't copy in notes) 2  7 = 2 +-7= -5 + +

  5. 1 1 1 1 1 1 Example 2: Simplify. (-2x2 + x – 5)  (-3x2 + 5x  6) 1 = (-2x2 + x – 5) +1(+3x2 5x + 6) Visualize. = x2 – 4x + 1 -1 - x2 - x2 -1 -1 x -1 -1 - x x2 x2 x2 x2 - x - x - x - x Look for neutral pairs to cancel

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