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 (y  5) (y + 5) = y2 + 5x  5x 25 = y2 25  (x + 3)(x  3) = x2 3x + 3x  9 = x2 9 Difference of two squares
Example 8-4a
(y + 9)2 = (y + 9)(y + 9) = y2 + 9y + 9y + 81 = y2 + 18y + 81 Find (x + 4)2 = (x + 4)(x + 4) = x2 + 4x + 4x + 16 = x2 + 8x + 16 Example 8-1a
Find FOIL = (7z + 2)(7z + 2) = 49z2 + 14z + 14z + 4 = 49z2 + 28z + 4 Example 8-1a
= (4x)2 + 2(4x)(2y) + (2y)2 = 16x2 + 16xy + 4y2 Example 8-1c
Example 8-2a
Find each product.    (3y  2)2 = (3y)2 2(3y)(2) + (2)2 = 9y2 12y + 4 = (3y)2 (2)2 = 9y2 4 Example 8-4c

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Alg1 lesson 8-8

  • 1. (y  5) (y + 5) = y2 + 5x  5x 25 = y2 25 (x + 3)(x  3) = x2 3x + 3x  9 = x2 9 Difference of two squares
  • 3. (y + 9)2 = (y + 9)(y + 9) = y2 + 9y + 9y + 81 = y2 + 18y + 81 Find (x + 4)2 = (x + 4)(x + 4) = x2 + 4x + 4x + 16 = x2 + 8x + 16 Example 8-1a
  • 4. Find FOIL = (7z + 2)(7z + 2) = 49z2 + 14z + 14z + 4 = 49z2 + 28z + 4 Example 8-1a
  • 5. = (4x)2 + 2(4x)(2y) + (2y)2 = 16x2 + 16xy + 4y2 Example 8-1c
  • 7. Find each product. (3y  2)2 = (3y)2 2(3y)(2) + (2)2 = 9y2 12y + 4 = (3y)2 (2)2 = 9y2 4 Example 8-4c