Simplify the following expression completely. (x^(2)-8x+15)/(x^(2)-2x-3) Answer:

Factorize numerator and denominator: Factor the numerator and the denominator. The numerator x^2 - 8x + 15 can be factored into (x - 3)(x - 5). The denominator x^2 - 2x - 3 can be factored into (x - 3)(x + 1).Cancel common factors: Cancel out the common factors. The factor (x - 3) is common to both the numerator and the denominator, so it can be canceled out. This leaves us with (x - 5)/(x + 1).Check for further simplifications: Check for any further simplifications. There are no common factors left, and neither the numerator nor the denominator can be factored further. Therefore, the expression is fully simplified.

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Simplify the following expression completely.

(x^(2)-8x+15)/(x^(2)-2x-3)
Answer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}-8 x+15}{x^{2}-2 x-3}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify the following expression completely.

\newline

\frac{x^{2}-8 x+15}{x^{2}-2 x-3}

\newline

Answer:

Factorize numerator and denominator: Factor the numerator and the denominator. $\newline$ The numerator $x^2 - 8x + 15$ can be factored into $(x - 3)(x - 5)$ . $\newline$ The denominator $x^2 - 2x - 3$ can be factored into $(x - 3)(x + 1)$ .
Cancel common factors: Cancel out the common factors. $\newline$ The factor $(x - 3)$ is common to both the numerator and the denominator, so it can be canceled out. $\newline$ This leaves us with $(x - 5)/(x + 1)$ .
Check for further simplifications: Check for any further simplifications. $\newline$ There are no common factors left, and neither the numerator nor the denominator can be factored further. $\newline$ Therefore, the expression is fully simplified.