Math  /  Algebra

QuestionMultiply the numerator and denominator of xx21x+12xx2\frac{\frac{x}{x-2}-\frac{1}{x+1}}{\frac{2 x}{x-2}} by which expression to simplify?

Studdy Solution
Now, we multiply the numerator and the denominator of the complex fraction by the LCD, (x2)(x+1)(x-2)(x+1).
xx21x+12xx2×(x2)(x+1)(x2)(x+1)\frac{\frac{x}{x-2}-\frac{1}{x+1}}{\frac{2 x}{x-2}} \times \frac{(x-2)(x+1)}{(x-2)(x+1)} This is the expression we would multiply into the numerator and denominator of the expression to simplify it.

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