Error Analysis Your friend incorrectly factors the expression below as 7x(3 - 2xy). Factor the expression below correctly. What error did your friend make? 21x- 14xy Factor the expression. 21x - 14xy = (Factor completely.) %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Error Analysis Your friend incorrectly factors the expression below as 7x(3 - 2xy). Factor the
expression below correctly. What error did your friend make?
21x- 14xy
Factor the expression.
21x- 14xy = (Factor completely.)
%3D
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Transcribed Image Text:Error Analysis Your friend incorrectly factors the expression below as 7x(3 - 2xy). Factor the expression below correctly. What error did your friend make? 21x- 14xy Factor the expression. 21x- 14xy = (Factor completely.) %3D Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All Check Answe Review progress Question 6 Go + Back Next -> of 12
Expert Solution
Step 1 EXPLANATION

The given expression is

                                    21x-14xy

Now we factorize the given expression

                                 21x-14xy

                              =(3·7·x-2·7·x·y)

                              =7(3·x-2·x·y)     ( factor out the common term 7 )

                              =7·x(3-2·y)         ( factor out the common term x )

                              =7x(3-2y)

                              =7×x×(3-2y)

  My friend make mistake in the term (3-2xy) because in the correct factorization it will be (3-2y)

 

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