Products
of Binomials
7-8
7-8 Special
Special
Products
of Binomials
Warm Up
Lesson Presentation
Lesson Quiz
Holt
Algebra
Holt
Algebra
11
7-8 Special Products of Binomials
Simplify.
1. 42
2. 72
3. (–2)2
4. (x)2
5. –(5y)2
6. (m2)2
7. 2(6xy)
8. 2(8x2)
Holt Algebra 1
7-8 Special Products of Binomials
Check It Out! Example 3
Multiply.
a. (x + 8)(x – 8)
b. (3 + 2y2)(3 – 2y2)
Holt Algebra 1
7-8 Special Products of Binomials
Check It Out! Example 3
Multiply.
c. (9 + r)(9 – r)
Holt Algebra 1
7-8 Special Products of Binomials
Example 4: Problem-Solving Application
Write a polynomial that represents the
area of the yard around the pool
shown below.
Holt Algebra 1
7-8 Special Products of Binomials
Check It Out! Example 4
Write an expression that represents
the area of the swimming pool.
Holt Algebra 1
7-8 Special Products of Binomials
A builder uses parallelogram-shaped stones as
decoration around a building’s windows. The stones
come in many different sizes. Each stone has a base
length of y inches and a height of (2y – 6) inches.
Write a polynomial to describe the area of a stone.
Then find the area of a stone that has a length of 6
units.
Holt Algebra 1
7-8 Special Products of Binomials
A circular track is surrounded by a circular walkway. The
radius of the track is m – 3 and the radius of the walkway
is m + 4. Write a polynomial that represents the area of
the walkway. (A = πr2)
Holt Algebra 1
7-8 Special Products of Binomials
Gary installed a square island in his kitchen and he
wants to trim the island out with tumblestone. The
tumblestone will enclose an area that is 3 feet longer and
2 feet wider than the island. If Gary bought a total of 24
feet of tumblestone, what are the dimensions of the
island?
Holt Algebra 1
7-8 Special Products of Binomials
The Smiths want to cover their backyard with new
grass. Their backyard is rectangular, with a length of 2x
– 4 feet and a width of 3x – 9 feet. However, their
rectangular swimming pool, along with its surrounding
patio, has dimensions of x + 6 by x – 1 feet. What is the
area of the region of the yard that they want to cover
with new grass?
Holt Algebra 1
7-8 Special Products of Binomials
Lesson Quiz: Part I
Multiply.
1. (x + 7)2
2. (x – 2)2
3. (5x + 2y)2
4. (2x – 9y)2
5. (4x + 5y)(4x – 5y)
6. (m2 + 2n)(m2 – 2n)
Holt Algebra 1
7-8 Special Products of Binomials
Lesson Quiz: Part II
7. Write a polynomial that represents the shaded
area of the figure below.
x+6
x–7
x–6
x–7
Holt Algebra 1