Chapter 5 Section 6 5 6 Special Products

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Chapter 5 Section 6

Chapter 5 Section 6

5. 6 Special Products Objectives 1 Square binomials. 2 Find the product of the

5. 6 Special Products Objectives 1 Square binomials. 2 Find the product of the sum and difference of two terms. 3 Find greater powers of binomials. Copyright © 2012, 2008, 2004 Pearson Education, Inc.

Objective 1 Square binomials. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5.

Objective 1 Square binomials. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -3

Square binomials. Square of a Binomial The square of a binomial is a trinomial

Square binomials. Square of a Binomial The square of a binomial is a trinomial consisting of For x and y, the following are true. Notice that in the square of a sum, all of the terms are positive. In the square of a difference, the middle term is negative. A common error when squaring a binomial is to forget the middle term of the product. In general, Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -4

EXAMPLE 1 Squaring a Binomial Find (x + 4)2. Solution: Copyright © 2012, 2008,

EXAMPLE 1 Squaring a Binomial Find (x + 4)2. Solution: Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -5

EXAMPLE 2 Squaring Binomials Square each binomial and simplify. Solution: Copyright © 2012, 2008,

EXAMPLE 2 Squaring Binomials Square each binomial and simplify. Solution: Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -6

Objective 2 Find the product of the sum and difference of two terms. Copyright

Objective 2 Find the product of the sum and difference of two terms. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -7

Find the product of the sum and difference of two terms. In binomial products

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). Product of the Sum and Difference of Two Terms The product rules of this section are essential as we continue to chapters 6 and 7. Remember and practice them. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -8

EXAMPLE 3 Finding the Product of the Sum and Difference of Two Terms Find

EXAMPLE 3 Finding the Product of the Sum and Difference of Two Terms Find the product. Solution: Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -9

EXAMPLE 4 Finding the Product of the Sum and Difference of Two Terms Find

EXAMPLE 4 Finding the Product of the Sum and Difference of Two Terms Find each product. Solution: Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -10

Objective 3 Find greater powers of binomials. Copyright © 2012, 2008, 2004 Pearson Education,

Objective 3 Find greater powers of binomials. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -11

EXAMPLE 5 Finding Greater Powers of Binomials Find each product. Solution: Copyright © 2012,

EXAMPLE 5 Finding Greater Powers of Binomials Find each product. Solution: Copyright © 2012, 2008, 2004 Pearson Education, Inc. Slide 5. 6 -12