SOLUTION: How would I perform this indicated operation? 7x / (x + 3) + 90 / (x^2 – 9) - 5x / (x – 3)

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Question 310999: How would I perform this indicated operation?
7x / (x + 3) + 90 / (x^2 – 9) - 5x / (x – 3)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
7x / (x + 3) + 90 / (x^2 – 9) - 5x / (x – 3)
7X/(X+3)+90/(X+3)(X-3)-5X/(X-3) COMMON DENOMINATOR IS (X+3)(X-3).
[7X(X-3)+90-5X(X+3)]/(X+3)(X-3)
[7X^2-21X+90-5X^2-15X]/(X+3)(X-3)
[2X^2-36X+90]/(X+3)(X-3)
2[X^2-18X+45]/(X+3)(X-3)
2[(X-3)(X-15)/(X+3)(X-3) CANCEL OUT THE (X-3) TERMS.
2(X-15)/(X+3)