Simplify the following expression completely. (x^(2)-6x-16)/(x^(2)-2x-48) Answer:

Factorization: Factor the numerator and the denominator. The numerator x^2 - 6x - 16 can be factored into (x - 8)(x + 2). The denominator x^2 - 2x - 48 can be factored into (x - 8)(x + 6).Cancel Common Factors: Cancel out the common factors. The common factor in the numerator and the denominator is (x - 8). So, we cancel (x - 8) from both the numerator and the denominator. (x - 8)(x + 2) / (x - 8)(x + 6) becomes (x + 2) / (x + 6).Write Simplified Expression: Write the simplified expression. After canceling the common factor, the simplified expression is (x + 2) / (x + 6).

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Simplify the following expression completely.

(x^(2)-6x-16)/(x^(2)-2x-48)
Answer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}-6 x-16}{x^{2}-2 x-48}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

Full solution

Q. Simplify the following expression completely.

\newline

\frac{x^{2}-6 x-16}{x^{2}-2 x-48}

\newline

Answer:

Factorization: Factor the numerator and the denominator. $\newline$ The numerator $x^2 - 6x - 16$ can be factored into $(x - 8)(x + 2)$ . $\newline$ The denominator $x^2 - 2x - 48$ can be factored into $(x - 8)(x + 6)$ .
Cancel Common Factors: Cancel out the common factors. $\newline$ The common factor in the numerator and the denominator is $(x - 8)$ . $\newline$ So, we cancel $(x - 8)$ from both the numerator and the denominator. $\newline$ $(x - 8)(x + 2) / (x - 8)(x + 6)$ becomes $(x + 2) / (x + 6)$ .
Write Simplified Expression: Write the simplified expression. $\newline$ After canceling the common factor, the simplified expression is $(x + 2) / (x + 6)$ .