Problem 66 Simplify each complex rational e... [FREE SOLUTION]

Chapter 0: Problem 66

Simplify each complex rational expression. $$\frac{x-3}{x-\frac{3}{x-2}}$$

Short Answer

Expert verified

The simplified form of the complex rational expression is $x^2 - 5x+ 6$.

Step by step solution

Rewrite the Complex Fraction

Rewrite the complex fraction to remove the fraction in the denominator. The fraction $x-3$ divided by $\left(x-\frac{3}{x-2}\right)$ can be rewritten as $(x-3) \cdot \left(\frac{x-2}{x-3}\right)$

Multiply

Now, we can multiply the two expressions that have been obtained after the previous step. You should obtain the fraction as $(x-3)\cdot(x-2)$. Make sure to distribute the multiplication to each term in the bracket. You will obtain $x^2 - 5x+ 6$

Final Simplification

The result obtained in step 2 is our simplified form of the original complex rational expression.

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91影视

Simplify each complex rational expression. $$\frac{x-3}{x-\frac{3}{x-2}}$$

Short Answer

Step by step solution

Rewrite the Complex Fraction

Multiply

Final Simplification

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