1. Special Products of Polynomials
March 24, 2014
Pages

2. Find the product. 1. (3x + 4)2 = (3x + 4)(3x + 4)
Simplify.
2. (5x – 2y)2
= (5x – 2y)(5x - 2y)
= 25x2 – 10xy – 10xy + 4y2
=25x2 – 20xy + 4y2
Simplify.

3. 3. (x + 3)2 = (x + 3)(x + 3) = x2 + 3x + 3x + 9 = x2 + 6x + 9
Simplify.
4. (2x + 1)2
= (2x + 1) + (2x + 1)
= 4x2 + 2x + 2x + 1
= 4x2 + 4x + 1
Simplify.

4. 5. (4x – y)2 = (4x – y)(4x – y) = 16x2 – 4xy – 4xy + y2
= 16x2 – 8xy + y2
Simplify.

5. Use special products to find the product 26 34.
REVIEW
Use special products to find the product
SOLUTION
Notice that 26 is 4 less than 30 while 34 is 4 more than 30.
26 34
= (30 – 4)(30 + 4)
Write as product of difference and sum.
= 302 – 42
Sum and difference pattern
= 900 – 16
Evaluate powers.
= 884
Simplify.

6. 6. (t + 5)(t – 5) = t2 – 52 = t2 – 25 7. (3x + y)(3x – y) = (3x)2 – y2
Sum and difference pattern
= t2 – 25
Simplify.
7. (3x + y)(3x – y)
= (3x)2 – y2
Sum and difference pattern
= 9x2 – y2
Simplify.

7. HOMEWORK
Page 572, #4-34, even