SOLUTION: A student was given the following problem:(4x^2-9) * [(6x - 9) / (4x^2 + 12x + 9)] . He states his answer to the problem as 3(2x -3). Is he correct? If not, explain why. What would

Algebra ->  Rational-functions -> SOLUTION: A student was given the following problem:(4x^2-9) * [(6x - 9) / (4x^2 + 12x + 9)] . He states his answer to the problem as 3(2x -3). Is he correct? If not, explain why. What would      Log On


   

Question 182306: A student was given the following problem:(4x^2-9) * [(6x - 9) / (4x^2 + 12x + 9)] . He states his answer to the problem as 3(2x -3). Is he correct? If not, explain why. What would you suggest he do to solve the problem?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A student was given the following problem:(4x^2-9) * [(6x - 9) / (4x^2 + 12x + 9)] . He states his answer to the problem as 3(2x -3). Is he correct? If not, explain why. What would you suggest he do to solve the problem?
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(4x^2-9) * [(6x - 9) / (4x^2 + 12x + 9)]
Factor where you can to get:
[(2x-3)(2x+3)]/(2x+3)(2x+3)]
Cancel any factors common to numerator and denominator:
= [(2x-3)*3(2x-3)]/(2x+3)
= [3(2x-3)(2x-3)]/(2x+3)
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Cheers,
Stan H.