SOLUTION: A student was given the following problem:
(9x^2 divided by 16 over 9y^2-24y+16) divided by (6y+8)
He states his answer to the problem as 2(3y+4). Is he correct? If not, expl
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Question 156415This question is from textbook elementary and intermediate algebra
: A student was given the following problem:
(9x^2 divided by 16 over 9y^2-24y+16) divided by (6y+8)
He states his answer to the problem as 2(3y+4). Is he correct? If not, explain why. What would you suggest he do to solve the problem?
This question is from textbook elementary and intermediate algebra
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(9x^2 divided by 16 over 9y^2-24y+16) divided by (6y+8)
He states his answer to the problem as 2(3y+4). Is he correct?
-----------------
[9x^2/16] / [(9y^2-24y+16)/(6y+8)]
Factor where possible:
[9x^2/16] / [(3y-4)^2/(2(3y+4))]
Invert the denominator and multiply:
= [9x^2/16] / [2(3y+4)/(3y-4)^2]
Cancel factors common to numerator and denominator,
such as 2
-------------
Note: This does not simplify to the form 2(3y+4)
=========================
Cheers,
Stan H.
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