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

Factorize Numerator and Denominator: Factor the numerator and the denominator. The numerator x^2 - 8x - 20 can be factored into (x - 10)(x + 2). The denominator x^2 - 3x - 10 can be factored into (x - 5)(x + 2).Cancel Common Factors: Cancel out the common factors. The common factor in the numerator and the denominator is (x + 2). So, we cancel (x + 2) from both the numerator and the denominator.Write Simplified Expression: Write down the simplified expression. After canceling the common factor, the simplified expression is (x - 10)/(x - 5).

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Simplify the following expression completely.

(x^(2)-8x-20)/(x^(2)-3x-10)
Answer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}-8 x-20}{x^{2}-3 x-10}$ $\newline$ Answer:

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Algebra 1

Evaluate rational expressions

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Q. Simplify the following expression completely.

\newline

\frac{x^{2}-8 x-20}{x^{2}-3 x-10}

\newline

Answer:

Factorize Numerator and Denominator: Factor the numerator and the denominator. $\newline$ The numerator $x^2 - 8x - 20$ can be factored into $(x - 10)(x + 2)$ . $\newline$ The denominator $x^2 - 3x - 10$ can be factored into $(x - 5)(x + 2)$ .
Cancel Common Factors: Cancel out the common factors. $\newline$ The common factor in the numerator and the denominator is $(x + 2)$ . $\newline$ So, we cancel $(x + 2)$ from both the numerator and the denominator.
Write Simplified Expression: Write down the simplified expression. $\newline$ After canceling the common factor, the simplified expression is $(x - 10)/(x - 5)$ .