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5.6 Special Products

5.6 Special Products. A common error when squaring a binomial is to forget the middle term of the product. In general,. When Squaring Binomials… Remember: . EXAMPLE 1. Find ( x + 4) 2 . Solution:. EXAMPLE 2. Square each binomial and simplify. Solution:.

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5.6 Special Products

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  1. 5.6 Special Products

  2. A common error when squaring a binomial is to forget the middle term of the product. In general, When Squaring Binomials… Remember:

  3. EXAMPLE 1 • Find (x + 4)2. Solution:

  4. EXAMPLE 2 • Square each binomial and simplify. Solution:

  5. Find the product of the sum and difference of two terms. • In binomial products of the form (x + y)(x− y), one binomial is the sum of two terms and the other is the difference of the same two terms. Consider (x + 2)(x− 2). Thus, the product of x + y and x −y is the difference of two squares. CONJUGATE PAIRS

  6. EXAMPLE 3 Find the product. Solution:

  7. EXAMPLE 4 • Find each product.

  8. Homework • 5.1: 1 – 87 EOO • 5.2: 1 – 77 ODD • 5.3: 1 – 83 EOO • 5.4 1 – 95 EOO • 5.5 1 – 83 EOO • 5.6 3 – 53 ODD 71 – 73 ODD

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