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Simplify the following expression completely. (x^(2)+5x-50)/(x^(2)+6x-40) Answer:

Simplify the following expression completely.\newlinex2+5x−50x2+6x−40 \frac{x^{2}+5 x-50}{x^{2}+6 x-40} \newlineAnswer:

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Evaluate expression when a complex numbers and a variable term is givenright chevron icon

Full solution

Q. Simplify the following expression completely.\newlinex2+5x−50x2+6x−40 \frac{x^{2}+5 x-50}{x^{2}+6 x-40} \newlineAnswer:
  1. Factorize Numerator and Denominator: Factor the numerator and the denominator.\newlineThe numerator is x2+5x−50x^2 + 5x - 50, which factors into (x+10)(x−5)(x + 10)(x - 5).\newlineThe denominator is x2+6x−40x^2 + 6x - 40, which factors into (x+10)(x−4)(x + 10)(x - 4).
  2. Cancel Common Factors: Cancel out the common factors.\newlineThe common factor in both the numerator and the denominator is (x+10)(x + 10).\newlineSo, we cancel (x+10)(x + 10) from both the numerator and the denominator.
  3. Write Simplified Expression: Write down the simplified expression.\newlineAfter canceling out the common factor, the simplified expression is (x−5)/(x−4)(x - 5)/(x - 4).

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