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

Algebra.Com
Question 310999: How would I perform this indicated operation?
7x / (x + 3) + 90 / (x^2 – 9) - 5x / (x – 3)

Answer by checkley77(12844)   (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)

RELATED QUESTIONS

What is th indicated operation here and how do I do it for this problem? 7x / (x + 3) (answered by JBarnum)
How would I perform this indicated operation? 5x^2y^3(7x^3 – 8x^2y^2 +... (answered by CharlesG2)
How would I perform this indicated operation? (5x^-3)^-2 (15x^5)^2... (answered by Fombitz)
Perform the indicated operation. Simplify if possible. x-4/x^2-2x-3 +... (answered by edjones)
Perform the indicated operation: x/x^2-9 + 3/x^2+6x+9 +... (answered by ewatrrr)
Perform the indicated operation:... (answered by Cromlix)
Perform the indicated operation.... (answered by MathLover1)
Please perform the indicated operation: (9 / (x - 3)) + ((2*x) /... (answered by josgarithmetic)
How would I perform this indicated operation? 6 / (7 - x) + 5 / (x +... (answered by JBarnum)