   Chapter 0.4, Problem 9E

Chapter
Section
Textbook Problem

Rewrite each expression in Exercises 1–16 as a single rational expression, simplified as much as possible. 1 x [ x − 3 x y + 1 y ]

To determine

To calculate: The simplified of the expression 1x[x3xy+1y] into a single expression.

Explanation

Given Information:

The provided expression is 1x[x3xy+1y].

Formula used:

Sum of rational expression:

A rational expression is an algebraic of the form PQ, where P and Q are simpler expression (polynomials) and the denominator Q0

PQ+RS=PS+RQQS

Calculation:

Consider the expression 1x[x3xy+1y].

Apply the sum of rational expression rule then simplify it,

1x[x3xy+1y]=1x[(x3)y+1(xy)xy2]

Multiply the expressions in numerator and denominator,

1x[x3xy+1y]=1x[(x3)y+1(xy)xy2]=1x[xy3y+xyxy2]

Now, add the like term and convert the above expression into single expression,

1x[x3xy+1y]=1x[(x3)y+1(xy)xy2]=

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