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Simplify the following expression completely. (x^(2)-8x-20)/(x^(2)-3x-10) Answer:

Simplify the following expression completely.\newlinex2−8x−20x2−3x−10 \frac{x^{2}-8 x-20}{x^{2}-3 x-10} \newlineAnswer:

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Q. Simplify the following expression completely.\newlinex2−8x−20x2−3x−10 \frac{x^{2}-8 x-20}{x^{2}-3 x-10} \newlineAnswer:
  1. Factorize Numerator and Denominator: Factor the numerator and the denominator.\newlineThe numerator x2−8x−20x^2 - 8x - 20 can be factored into (x−10)(x+2)(x - 10)(x + 2).\newlineThe denominator x2−3x−10x^2 - 3x - 10 can be factored into (x−5)(x+2)(x - 5)(x + 2).
  2. Cancel Common Factors: Cancel out the common factors.\newlineThe common factor in the numerator and the denominator is (x+2)(x + 2).\newlineSo, we cancel (x+2)(x + 2) from both the numerator and the denominator.
  3. Write Simplified Expression: Write down the simplified expression.\newlineAfter canceling the common factor, the simplified expression is (x−10)/(x−5)(x - 10)/(x - 5).

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