Simplify the following expression completely. (x^(2)-17 x+72)/(x^(2)-9x+8) Answer:

Identify Factors: Identify the factors of the quadratic expressions in the numerator and the denominator. The numerator x^2 - 17x + 72 can be factored into (x - 8)(x - 9). The denominator x^2 - 9x + 8 can be factored into (x - 1)(x - 8).Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. The common factor (x - 8) can be canceled from both the numerator and the denominator. This leaves us with (x - 9)/(x - 1).Check Further Simplifications: Check for any further simplifications. There are no further simplifications possible, as (x - 9) and (x - 1) do not have any common factors.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify the following expression completely.

(x^(2)-17 x+72)/(x^(2)-9x+8)
Answer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}-17 x+72}{x^{2}-9 x+8}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Precalculus

Operations with rational exponents

Full solution

Q. Simplify the following expression completely.

\newline

\frac{x^{2}-17 x+72}{x^{2}-9 x+8}

\newline

Answer:

Identify Factors: Identify the factors of the quadratic expressions in the numerator and the denominator. $\newline$ The numerator $x^2 - 17x + 72$ can be factored into $(x - 8)(x - 9)$ . $\newline$ The denominator $x^2 - 9x + 8$ can be factored into $(x - 1)(x - 8)$ .
Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. $\newline$ The common factor $(x - 8)$ can be canceled from both the numerator and the denominator. $\newline$ This leaves us with $(x - 9)/(x - 1)$ .
Check Further Simplifications: Check for any further simplifications. $\newline$ There are no further simplifications possible, as $(x - 9)$ and $(x - 1)$ do not have any common factors.