The expression A) 1 + aª 1+b4 6² 1 q² + a² +6² B) simplifies to: 6² + a² a²b² Q (Ignore the domain change when simplified.) E) None of these.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 14: Simplification of a Rational Expression**

The given expression is:

\[
\frac{\frac{1}{b^2} + a^2}{\frac{1}{a^2} + b^2}
\]

You are asked to simplify this expression. (Ignore the domain change when simplified.)

The multiple-choice options are:

**A)** \(\frac{1 + a^4}{1 + b^4}\)

**B)** \(\frac{b^2 + a^2}{a^2 b^2}\)

**C)** \(\frac{b^2}{a^2}\)

**D)** \(\frac{a^2}{b^2}\)

**E)** None of these.
Transcribed Image Text:**Problem 14: Simplification of a Rational Expression** The given expression is: \[ \frac{\frac{1}{b^2} + a^2}{\frac{1}{a^2} + b^2} \] You are asked to simplify this expression. (Ignore the domain change when simplified.) The multiple-choice options are: **A)** \(\frac{1 + a^4}{1 + b^4}\) **B)** \(\frac{b^2 + a^2}{a^2 b^2}\) **C)** \(\frac{b^2}{a^2}\) **D)** \(\frac{a^2}{b^2}\) **E)** None of these.
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