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form the indicated operations and simplify the following 44 44 (x + 2)² x²-3x+2 (42) x2 +5x+6 x²-1 ↓ (X+3)(x+2) x²+x-17 x²-4 (x-2)(x-2

form the indicated operations and simplify the following 44 44 (x + 2)² x²-3x+2 (42) x2 +5x+6 x²-1 ↓ (X+3)(x+2) x²+x-17 x²-4 (x-2)(x-2

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I am currently stuck on a math problem and can't seem to figure it out. (Perform the indicated operations and Simplify. leave in factored form)

The problem involves performing the indicated operations and simplifying the following algebraic expression: \[ \frac{x^2 + 5x + 6}{x^2 - 1} \div \left( \frac{(x+2)^2}{x^2 - 3x + 2} \cdot \frac{x^2 + x - 1}{x^2 - 4} \right) \] Below the original problem, there is some scratch work attempting to simplify the expression: 1. \((x^2 + 5x + 6)\) is factored as \((x+3)(x+2)\). 2. \((x^2 - 1)\) is factored as \((x-1)(x+1)\). 3. \((x^2 - 3x + 2)\) is factored as \((x-2)(x-1)\). 4. \((x^2 - 4)\) is factored as \((x-2)(x+2)\). The scratch work indicates attempts at factoring and simplifying using the properties of polynomials and rational expressions. The goal is likely to simplify the quotient by multiplication and cancellation of common factors in the numerators and denominators.
Transcribed Image Text:The problem involves performing the indicated operations and simplifying the following algebraic expression: \[ \frac{x^2 + 5x + 6}{x^2 - 1} \div \left( \frac{(x+2)^2}{x^2 - 3x + 2} \cdot \frac{x^2 + x - 1}{x^2 - 4} \right) \] Below the original problem, there is some scratch work attempting to simplify the expression: 1. \((x^2 + 5x + 6)\) is factored as \((x+3)(x+2)\). 2. \((x^2 - 1)\) is factored as \((x-1)(x+1)\). 3. \((x^2 - 3x + 2)\) is factored as \((x-2)(x-1)\). 4. \((x^2 - 4)\) is factored as \((x-2)(x+2)\). The scratch work indicates attempts at factoring and simplifying using the properties of polynomials and rational expressions. The goal is likely to simplify the quotient by multiplication and cancellation of common factors in the numerators and denominators.
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Step 1

Given: The given expression is x2+5x+6x2-1÷x+22x2-3x+2·x2+x-1x2-4.

To find: The main aim is to simplify it.

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