(x-8)(x+3)/(x+9)(x-1) Simplified

Jasonbradley

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Jun 17, 2024

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Simplifying Rational Expressions: (x-8)(x+3)/(x+9)(x-1)

This article will guide you through the process of simplifying the rational expression (x-8)(x+3)/(x+9)(x-1).

Understanding Rational Expressions

A rational expression is a fraction where the numerator and denominator are polynomials. To simplify these expressions, we aim to cancel out common factors in the numerator and denominator.

Steps to Simplify

1. Factor the numerator and denominator completely: The given expression is already factored: (x-8)(x+3)/(x+9)(x-1)

2. Identify and cancel out common factors: There are no common factors between the numerator and denominator. This means the expression is already in its simplest form.

Final Result

Therefore, the simplified form of the rational expression (x-8)(x+3)/(x+9)(x-1) is (x-8)(x+3)/(x+9)(x-1).

Important Notes

• We cannot cancel out terms (individual numbers or variables) that are not factors.
• It is essential to factor completely before canceling common factors.

Remember that simplifying a rational expression is about finding an equivalent expression that is easier to work with.