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Factoring the Difference of 2 Perfect Squares

Concept 2. Factoring the Difference of 2 Perfect Squares. What do these words have in common?. Example 1: Simplify. (x + 5)( x - 5). -5x. +5x. x 2. - 25 . Example 2: Simplify. (x + 3y)( x – 3y). -3xy. +3xy. x 2. - 9y 2. Pattern. (a + b)(a – b) = a 2 – b 2.

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Factoring the Difference of 2 Perfect Squares

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  1. Concept 2 Factoring the Difference of 2 Perfect Squares

  2. What do these words have in common?

  3. Example 1: Simplify (x + 5)( x - 5) -5x +5x x2 - 25

  4. Example 2: Simplify (x + 3y)( x – 3y) -3xy +3xy x2 - 9y2

  5. Pattern (a + b)(a – b) = a2 – b2

  6. Example 3: Simplify (x – 8y)( x + 8y) +3xy x2 – 64y2

  7. Example 4: Simplify (2a – 3)( 2a + 3) +3xy 4a2 – 9

  8. Let’s change direction Given: a2 – b2 Factor into: (a + b)(a – b)

  9. Example 5: Factor (x2 – 16) +3xy (x + 4)(x – 4)

  10. Example 6: Factor (x2 – 9y2) (x + 3y)(x – 3y)

  11. Example 7: Factor (x6 – 25y2) (x3 + 5y)(x3 – 5y)

  12. Example 8: Factor (x8 – 144) (x4 + 12)(x4 – 12)

  13. Example 9: Factor (x2 + 121) Prime

  14. Combine Factoring out the GCF with the Difference of 2 Perfect Squares

  15. Example 10: Factor (3x3 – 27x) 3x(x2 – 9) 3x(x + 3)(x – 3)

  16. Example 11: Factor (7x5 – 7x) 7x(x4 – 1) 7x(x2 + 1)(x2 – 1) 7x(x2 + 1)(x + 1)(x – 1)

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