SOLUTION: How do you solve {{{4n^2/(2n+3) - 9/(2n+3)}}}

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Question 101869: How do you solve 4n%5E2%2F%282n%2B3%29+-+9%2F%282n%2B3%29
Found 2 solutions by Fombitz, edjones:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
When adding or subtracing fractions, you need the same denominator. In this case you have that. Keep the same denominator and subtract the numerators. 4n%5E2%2F%282n%2B3%29+-+9%2F%282n%2B3%29=+%284n%5E2-9%29%2F%282n%2B3%29.
You can also reduce this by noticing that
%284n%5E2-9%29=+%282n%2B3%29%2A%282n-3%29.
Then you get
RHS%28Right+Hand+Side%29=%282n%2B3%29%2A%282n-3%29%2F%282n%2B3%29.
And finally
RHS=%282n-3%29.
The final answer :
4n%5E2%2F%282n%2B3%29+-+9%2F%282n%2B3%29=%282n-3%29.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
4n%5E2%2F%282n%2B3%29+-+9%2F%282n%2B3%29
This is not an equation. So we don't solve for n.
%284n%5E2+-+9%29%2F%282n%2B3%29 LCD=2n+3
%282n-3%29cross%282n%2B3%29%2Fcross%282n%2B3%29 Factor.
=2n-3 Ans.
Ed