Simplify the rational expression. Assume that variable z has no value which results in the denominator with a value of zero. 5z²+25z+30 -15z-30 5z²+25z+30 <-15z-30 (Use integers or fractions for any numbers in the expression.) n example Textbook Clear all
Simplify the rational expression. Assume that variable z has no value which results in the denominator with a value of zero. 5z²+25z+30 -15z-30 5z²+25z+30 <-15z-30 (Use integers or fractions for any numbers in the expression.) n example Textbook Clear all
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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Question
![**Simplifying Rational Expressions**
In this exercise, you are asked to simplify the given rational expression. Assume that the variable \( z \) is such that it does not make the denominator zero.
The expression is:
\[
\frac{5z^2 + 25z + 30}{-15z - 30}
\]
To simplify this expression:
1. **Numerator**: \( 5z^2 + 25z + 30 \)
2. **Denominator**: \(-15z - 30\)
The task requires factoring both the numerator and the denominator and simplifying the expression by canceling common factors if possible.
**Note**: Use integers or fractions for any numbers in the expression.
You can input your answer in the box provided. Make sure the expression is fully simplified.
For further guidance, view examples or refer to the textbook section.
Options available:
- Clear all inputs
- Check your answer
This exercise helps develop skills in algebraic manipulation and recognizing common factors in rational expressions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19772496-b599-484e-9a18-05f191d4af79%2F76218371-a437-4e49-9dd6-238759adce02%2Fxh8d3zr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Simplifying Rational Expressions**
In this exercise, you are asked to simplify the given rational expression. Assume that the variable \( z \) is such that it does not make the denominator zero.
The expression is:
\[
\frac{5z^2 + 25z + 30}{-15z - 30}
\]
To simplify this expression:
1. **Numerator**: \( 5z^2 + 25z + 30 \)
2. **Denominator**: \(-15z - 30\)
The task requires factoring both the numerator and the denominator and simplifying the expression by canceling common factors if possible.
**Note**: Use integers or fractions for any numbers in the expression.
You can input your answer in the box provided. Make sure the expression is fully simplified.
For further guidance, view examples or refer to the textbook section.
Options available:
- Clear all inputs
- Check your answer
This exercise helps develop skills in algebraic manipulation and recognizing common factors in rational expressions.
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