Add and subtract the expressions with unlike denominators. y+1 2y-7 4y y2 - 3y - 10 y-5 y+2

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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**Task: Add and subtract the expressions with unlike denominators.**

\[
\frac{4y}{y^2 - 3y - 10} + \frac{y+1}{y-5} - \frac{2y-7}{y+2}
\]

To solve this, you need to find a common denominator for the three fractions. Once you have a common denominator, you can combine the fractions by performing the addition and subtraction operations. 

Remember to factor the quadratic expression in the first denominator \(y^2 - 3y - 10\) to identify potential common factors. Consider factoring techniques and simplification steps to make calculations easier.
Transcribed Image Text:**Task: Add and subtract the expressions with unlike denominators.** \[ \frac{4y}{y^2 - 3y - 10} + \frac{y+1}{y-5} - \frac{2y-7}{y+2} \] To solve this, you need to find a common denominator for the three fractions. Once you have a common denominator, you can combine the fractions by performing the addition and subtraction operations. Remember to factor the quadratic expression in the first denominator \(y^2 - 3y - 10\) to identify potential common factors. Consider factoring techniques and simplification steps to make calculations easier.
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