SOLUTION: My teacher gave this problem 4x^-9 ------ 4x^2+12x+9 divided by 6x-9 I got 3(2x+3), my teacher said I was wrong.Please help me.

Question 156524: My teacher gave this problem
4x^-9
------
4x^2+12x+9 divided by 6x-9
I got 3(2x+3), my teacher said I was wrong.Please help me.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is the expression ???

Start with the given expression

Rewrite as

Multiply the first fraction by the reciprocal of the second fraction

Factor to get

Factor to get

Factor to get

Combine the fractions.

Highlight the common terms.

Cancel out the common terms.

Simplify

Distribute (this step is optional)

So simplifies to (which is the same as )

Note: you can use a graph to verify your answer. Simply graph the original expression and the answer. If the two graphs are identical (which in this case they are), then this shows that the two expressions are equivalent and it verifies the answer.
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