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Warm - UP Factor: 1. x 2 – 64 = ( )( ) 1. x 2 – 64 = ( )( ) 2. x 2 – 100 = ( )( ) 3. x 2 – 169 = ( )( ) 4. x 2 – 4 = ( )( ) 5. What are two requirements of the expression to be factored into difference of perfect squares?

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5-6 Squares of Binomials Objective: to find squares of binomials and to factor perfect square trinomials Objective: to find squares of binomials and to factor perfect square trinomials

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5-6 Squares of Binomials Example 1: Find squares: Example 1: Find squares: A. (x + 3) 2 = A. (x + 3) 2 = Rewrite: (x + 3)(x + 3) = FOIL Rewrite: (x + 3)(x + 3) = FOIL

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5-6 Squares of Binomials Example 1: Find squares: Example 1: Find squares: A. (x + 3) 2 = A. (x + 3) 2 = Rewrite: (x + 3)(x + 3) = FOIL Rewrite: (x + 3)(x + 3) = FOIL

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5-6 Squares of Binomials Example 1: Find squares: Example 1: Find squares: b. (7u - 3) 2 = b. (7u - 3) 2 = Rewrite: (7u - 3)(7u - 3) = FOIL Rewrite: (7u - 3)(7u - 3) = FOIL

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5-6 Squares of Binomials Example 1: Find squares: Example 1: Find squares: c. (4s – 5t) 2 = c. (4s – 5t) 2 = Rewrite: (4s – 5t)(4s – 5t) = FOIL Rewrite: (4s – 5t)(4s – 5t) = FOIL

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5-6 Squares of Binomials Example 1: Find squares: Example 1: Find squares: d. (3p 2 – 2q 2 ) 2 = d. (3p 2 – 2q 2 ) 2 = Rewrite: (3p 2 – 2q 2 )(3p 2 – 2q 2 ) = FOIL Rewrite: (3p 2 – 2q 2 )(3p 2 – 2q 2 ) = FOIL

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5-6 Squares of Binomials Example 1: Find squares: Example 1: Find squares: d. (3p 2 – 2q 2 ) 2 = d. (3p 2 – 2q 2 ) 2 = Rewrite: (3p 2 – 2q 2 )(3p 2 – 2q 2 ) = Rewrite: (3p 2 – 2q 2 )(3p 2 – 2q 2 ) = Use this information to reverse the process: factor Trinomial is in form: Use this information to reverse the process: factor Trinomial is in form: a 2 + 2ab + b 2 = ( a + b) 2 or a 2 + 2ab + b 2 = ( a + b) 2 or a 2 - 2ab + b 2 = ( a - b) 2 a 2 - 2ab + b 2 = ( a - b) 2

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5-6 Squares of Binomials Example 2: Is this a perfect square???? Then factor: Example 2: Is this a perfect square???? Then factor: a. 4x 2 – 20x + 25 = a. 4x 2 – 20x + 25 =

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5-6 Squares of Binomials Example 2: Is this a perfect square???? Then factor: Example 2: Is this a perfect square???? Then factor: b. 64u 2 + 72uv + 81v 2 = b. 64u 2 + 72uv + 81v 2 =

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5-6 Squares of Binomials Oral Exercises: Page 210 Oral Exercises: Page 210 1 – 18 1 – 18 Written Exercises: Page 210 Written Exercises: Page 210 2 – 36 even 2 – 36 even

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Factoring Special Cases. Factoring by Grouping. What you’ll learn To factor perfect square trinomials and differences squares. To factor higher degree.

Factoring Special Cases. Factoring by Grouping. What you’ll learn To factor perfect square trinomials and differences squares. To factor higher degree.

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