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5.5 The Difference of Squares The Sum and Difference of Two Cubes

5.5 The Difference of Squares The Sum and Difference of Two Cubes. Perfect Squares. Know the first 20 integers that are perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400

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5.5 The Difference of Squares The Sum and Difference of Two Cubes

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  1. 5.5The Difference of SquaresThe Sum and Difference of Two Cubes

  2. Perfect Squares • Know the first 20 integers that are perfect squares: • 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400 • Expressions like x2y4z6are also perfect squares because they can be written as such (xy2z3)2

  3. Difference of Two Squares

  4. Another Example

  5. Another Example

  6. Another Example

  7. Sum & Difference of Two Cubes • Know the first 10 positive perfect cubes: • 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000 • Expressions like x3y9z6 are also perfect cubes because they can be written as (xy3z2)3

  8. Sum & Difference of CubesFormulas

  9. Example

  10. Another Example

  11. Another Example

  12. Same example – different method

  13. Last Example!

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