1. Chapter 5
Section 6

2. 5.6 Special Products Objectives Square binomials.1
Square binomials.
Find the product of the sum and difference of two terms.
Find greater powers of binomials. 2 3

3. Objective 1
Square binomials.
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4. 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,
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5. EXAMPLE 1
Squaring a Binomial
Find (x + 4)2.
Solution:
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6. Square each binomial and simplify.
EXAMPLE 2
Squaring Binomials
Square each binomial and simplify.
Solution:
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7. Find the product of the sum and difference of two terms.
Objective 2
Find the product of the sum and difference of two terms.
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8. 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.
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9. EXAMPLE 3 Find the product. Solution:
Finding the Product of the Sum and Difference of Two Terms
Find the product.
Solution:
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10. EXAMPLE 4 Find each product. Solution:
Finding the Product of the Sum and Difference of Two Terms
Find each product.
Solution:
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11. Find greater powers of binomials.
Objective 3
Find greater powers of binomials.
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12. Finding Greater Powers of Binomials
EXAMPLE 5
Finding Greater Powers of Binomials
Find each product.
Solution:
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