Simplify the expression. 2a2 - 7a-15 9a-1 a+3a-10 3a-8a -3 4a?-9 2a-9a+ 9 - 42a a -8a -2 O (a +5)(3a-1) (a+ 3)(a – 2) (a - 5)(3a - 1) (a - 2)(a +5)

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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### Simplify the Expression

Given the following mathematical expression, simplify it as shown:

\[
 \frac{2a^2 - 7a - 15}{3a^2 - 8a - 3} \cdot \frac{9a^2 - 1}{4a^2 - 9} + \frac{a^2 + 3a - 10}{2a^2 - 9a + 9}
\]

#### Answer Choices:
1. \(\frac{-42a}{a^2 - 8a - 2}\)
2. \(\frac{(a+5)(3a-1)}{(a+3)(a-2)}\)
3. \(\frac{(a-5)(3a-1)}{(a-2)(a+5)}\)

Please select the correct simplified form of the expression from the provided options.

--- 

Academic Note: Practice simplifying algebraic expressions step-by-step to improve problem-solving skills and understanding of algebraic manipulation.
Transcribed Image Text:### Simplify the Expression Given the following mathematical expression, simplify it as shown: \[ \frac{2a^2 - 7a - 15}{3a^2 - 8a - 3} \cdot \frac{9a^2 - 1}{4a^2 - 9} + \frac{a^2 + 3a - 10}{2a^2 - 9a + 9} \] #### Answer Choices: 1. \(\frac{-42a}{a^2 - 8a - 2}\) 2. \(\frac{(a+5)(3a-1)}{(a+3)(a-2)}\) 3. \(\frac{(a-5)(3a-1)}{(a-2)(a+5)}\) Please select the correct simplified form of the expression from the provided options. --- Academic Note: Practice simplifying algebraic expressions step-by-step to improve problem-solving skills and understanding of algebraic manipulation.
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