# Handout 14-05

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Name: _______________________
Algebraic Expressions 2 – Multiplying Binomials
Directions: Simplify
1
2
3
4
5
( x  3)( x  7)
( x  3)( x  2)
( x  5)( x  5)
( x  5)( x  5)
( x  5)( x  3)
Date: _____________
Class: Pre-Algebra
6
( x  8) 2
11
7
( x  8) 2
12
8
9
10
( x  10)( x  10)
( x  4)(  x  5)
(2 x  3)(3x  4)
Sheet # 14-05
( x  4)( 2 x  2)
( x  3 y )( x  2 y )
2
13 ( x  y )
14
15
(a  3b)( 2a  2b)
(a  3b)( 2a  2b)
16
Anais decided to make her rectangular outdoor
swimming pool larger so she can invite more people
over for pool parties. The pool’s original length was 14
feet and the width was 10 feet. She increases the length
and width by the same amount.
Part A Express the area of the new swimming pool
as a polynomial in simplest form.
19
Simplify: ( 3 x 2  x  2 ) - ( x 2  2 x  3 )
20
21
Answer:_____________________ square feet
Simplify:
15 x15 y 10
5x 5 y 5
Part B Express the perimeter of the new swimming
pool as a polynomial in simplest form.
22
Simplify 5 x  3(4 x  1)
Answer:_____________________ feet
Part C
The new perimeter of the pool is 74 feet.
Write an equation and solve to determine the
new dimensions of the swimming pool.
Answer: width: _______feet; length: ________ feet
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18
3 7
5 4 2
What is the product of (3s t u ) and (4st u ) ?
Simplify:  2 x( x  6)
23
Use a geometric diagram to find the product.
c  2c  9
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Use a geometric diagram to find the product.
n  5 n2  3n  7

