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Simplify the sum. State any restrictions on the variables.
x− 2x+3+10xx2−9
To simplify the sum, first factor the denominator x^2 -9:
x - 2x + 3 + 10x / (x + 3)(x - 3)
Now rewrite the equation with the factored denominator:
-x + 3 + 10x / (x + 3)(x - 3)
Combine like terms in the numerator:
9x + 3 / (x + 3)(x - 3)
There are no restrictions on the variables.