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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.

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Presentation on theme: "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."— Presentation transcript:

1 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?

2 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

3 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

4 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

5 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

6 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

7 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

8 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

9 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 =

10 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 uv + 81v 2 = b. 64u uv + 81v 2 =

11 5-6 Squares of Binomials Oral Exercises: Page 210 Oral Exercises: Page – 18 1 – 18 Written Exercises: Page 210 Written Exercises: Page – 36 even 2 – 36 even


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