The student did the following two-column conclusion. Where did he make a mistake? a =b We'll start assuming this to be true. ab = a² Multiply both sides by a. ab-b = a² -b? Subtract b from both sides. b(a-b)=(a+b)(a-b) Factor both sides. b =a+b Divide both sides by a-b. b= 2b Recall we started off assuming a = b. 1= 2 Divide both sides by b.
The student did the following two-column conclusion. Where did he make a mistake? a =b We'll start assuming this to be true. ab = a² Multiply both sides by a. ab-b = a² -b? Subtract b from both sides. b(a-b)=(a+b)(a-b) Factor both sides. b =a+b Divide both sides by a-b. b= 2b Recall we started off assuming a = b. 1= 2 Divide both sides by b.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![The student did the following
two-column conclusion.
Where did he make a mistake?
a =b
We'll start assuming this to be true.
ab = a²
Multiply both sides by a.
ab-b = a² -b²
Subtract b from both sides.
b(a-b)=(a+b)(a-b)
Factor both sides.
b= a+b
Divide both sides by a-b.
b = 2b
Recall we started off assuming a =b.
1= 2
Divide both sides by b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29dfbad1-6628-4871-bf88-13b8f1df47f1%2F11821299-92a9-4836-890f-c14902eea227%2F7acsp8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The student did the following
two-column conclusion.
Where did he make a mistake?
a =b
We'll start assuming this to be true.
ab = a²
Multiply both sides by a.
ab-b = a² -b²
Subtract b from both sides.
b(a-b)=(a+b)(a-b)
Factor both sides.
b= a+b
Divide both sides by a-b.
b = 2b
Recall we started off assuming a =b.
1= 2
Divide both sides by b.
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