(x-2)(x+2) over (x-3)(x-1)

asked by guest
on Sep 20, 2024 at 11:29 pm



You asked:

Evaluate the expression: \(\frac{\left(x - 2\right) \cdot \left(x + 2\right)}{\left(x - 3\right) \cdot \left(x - 1\right)}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{\left(x - 2\right) \cdot \left(x + 2\right)}{\left(x - 3\right) \cdot \left(x - 1\right)} = \frac{\left(x - 2\right) \left(x + 2\right)}{\left(x - 3\right) \left(x - 1\right)} \)

Expanded

\[\frac{\left(x - 2\right) \cdot \left(x + 2\right)}{\left(x - 3\right) \cdot \left(x - 1\right)} = \frac{x^{2}}{x^{2} - 4 x + 3} - \frac{4}{x^{2} - 4 x + 3}\]

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