   Chapter 4.4, Problem 48PS

Chapter
Section
Textbook Problem

For Problems 41-64, simplify each complex fraction. (Objective 2) 9 x + 7 x 2 5 y + 3 y 2

To determine

To Find:

The simplest form of the given complex fraction:

9x+7x25y+3y2

Explanation

Approach:

Fraction in a fraction is called complex fraction. Fraction of this kind can resolve to the reduced form in different approaches. One of the methods is to find the LCD and multiplied it to the numerator and denominator of the complex fraction.

Calculation:

Here, the given expression is 9x+7x25y+3y2.

LCD of the given expression is x2y2.

So,

9x+7x25y+3y2=x2y2x2y2(9x+7x25y+3y2)=xy2×9+y2×7x

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