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Chapter 11: Q18. (page 699)

Find the quotient.

x4y2梅xy

Short Answer

Expert verified

The final answer is x3y.

Step by step solution

01

Step 1. Define a rational function.

A function of the form y=pqis called a rational function, where pandq are the polynomials and q鈮�0 .

02

Step 2. Define the quotient of two expressions ab and cd.

The quotient of two expressions ab and cd, where b鈮�0 and d鈮�0, is given below.

ab梅cd=ab脳dc=acbd鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�...........(1)

03

Step 3. Calculate the quotient x4y2÷xy.

Use (1)to find the quotient x4y2梅xy.

x4y2梅xy=x4y2脳yx=(x4)(y)(y2)(x)=x3y

Therefore, the final answer is x3y.

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