Math  /  Algebra

QuestionSimplify the expression 2x3x2+3xx2\frac{2 x-3}{x-2}+\frac{3-x}{x-2} and give your answer in the form of f(x)g(x)\frac{f(x)}{g(x)}.
Your answer for the function f(x)f(x) is : \square Your answer for the function g(x)g(x) is : \square Question Help: \square Message instructor Submit Question
Question 9 0/20 / 2 pts 3 99 Details
Subtract and simplify: x2+21xx+621x+36x+6\frac{x^{2}+21 x}{x+6}-\frac{21 x+36}{x+6} \square

Studdy Solution
Simplify the combined numerator:
2x3+3x=2xx=x 2x - 3 + 3 - x = 2x - x = x
Thus, the expression becomes:
xx2 \frac{x}{x-2}
The simplified expression is:
Your answer for the function f(x)f(x) is: xx
Your answer for the function g(x)g(x) is: x2x-2

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