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10.3 Special Products of Polynomials

- Goal Use special product patterns to multiply

polynomials

Special Product Patterns of Polynomials

Find The Product Using Sum and Difference Pattern

So a 4y and b 3

Squaring a Binomial

So a 2x and b 3

Squaring a Binomial

a 4x and b 1

Find The Area of The Shaded Region

Area of the Shaded Region

Area of the Entire Square

Area of the Smaller Square

Find the area of the square in terms of x.

Perfect Square Trinomial

Simplify.

1)

2)

Follow the pattern!

Last Term

Twice the Last Term

Square of the Last Term

Difference of Squares.

Multiply.

Inner and Outer terms cancel!

Difference of Squares?

Perfect Square

Perfect Square

minus

List the perfect squares from 1 to 200.

1

25

81

169

4

36

100

196

9

49

121

16

64

144

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