Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Chapter A5, Problem 37E
To determine
To calculate: The simplified form of the expression
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For Exercises 8–10,
a. Simplify the expression. Do not rationalize the denominator.
b. Find the values of x for which the expression equals zero.
c. Find the values of x for which the denominator is zero.
4x(4x – 5) – 2x² (4)
8.
-6x(6x + 1) – (–3x²)(6)
(6x + 1)2
9.
(4x – 5)?
-
10. V4 – x² - -() 2)
Make Sense? In Exercises 135–138, determine whether each
statement makes sense or does not make sense, and explain your
reasoning.
135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I
did to find the binomial product (x + 5)(x + 4).
136. I used a special-product formula and simplified as follows:
(V2 + V5)? = 2 + 5 = 7.
137. In some cases when I multiply a square root expression and
its conjugate, the simplified product contains a radical.
138. I use the fact that 1 is the multiplicative identity to both
rationalize denominators and rewrite rational expressions
with a common denominator.
In Exercises 83–90, perform the indicated operation or operations.
83. (3x + 4y)? - (3x – 4y)
84. (5x + 2y) - (5x – 2y)
85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1)
86. (3x + 5)(2x - 9) - (7x – 2)(x – 1)
87. (2x + 5)(2r - 5)(4x? + 25)
88. (3x + 4)(3x – 4)(9x² + 16)
(2x – 7)5
89.
(2x – 7)
(5x – 3)6
90.
(5x – 3)4
Chapter A5 Solutions
Calculus: An Applied Approach (MindTap Course List)
Ch. A5 - Prob. 1CPCh. A5 - Prob. 2CPCh. A5 - Prob. 3CPCh. A5 - Prob. 4CPCh. A5 - Prob. 5CPCh. A5 - Prob. 6CPCh. A5 - Prob. 7CPCh. A5 - Prob. 1ECh. A5 - Prob. 2ECh. A5 - Prob. 3E
Ch. A5 - Prob. 4ECh. A5 - Prob. 5ECh. A5 - Prob. 6ECh. A5 - Prob. 7ECh. A5 - Prob. 8ECh. A5 - Prob. 9ECh. A5 - Prob. 10ECh. A5 - Prob. 11ECh. A5 - Prob. 12ECh. A5 - Prob. 13ECh. A5 - Prob. 14ECh. A5 - Prob. 15ECh. A5 - Prob. 16ECh. A5 - Prob. 17ECh. A5 - Prob. 18ECh. A5 - Prob. 19ECh. A5 - Prob. 20ECh. A5 - Prob. 21ECh. A5 - Prob. 22ECh. A5 - Prob. 23ECh. A5 - Prob. 24ECh. A5 - Prob. 25ECh. A5 - Prob. 26ECh. A5 - Prob. 27ECh. A5 - Prob. 28ECh. A5 - Prob. 29ECh. A5 - Prob. 30ECh. A5 - Prob. 31ECh. A5 - Prob. 32ECh. A5 - Prob. 33ECh. A5 - Prob. 34ECh. A5 - Prob. 35ECh. A5 - Prob. 36ECh. A5 - Prob. 37ECh. A5 - Prob. 38ECh. A5 - Prob. 39ECh. A5 - Prob. 40ECh. A5 - Prob. 41ECh. A5 - Prob. 42E
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