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Chapter 11: Q14. (page 699)

Find the product.

(x+5)(x鈭�3)x3.5xx鈭�3

Short Answer

Expert verified

The final answer is 5(x+5)x2.

Step by step solution

01

Step 1. Define a rational function.

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

02

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

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

ab.cd=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 product (x+5)(x−3)x3.5xx−3.

Use (1)to find the product (x+5)(x鈭�3)x3.5xx鈭�3.

(x+5)(x鈭�3)x3.5xx鈭�3=(x+5)(x鈭�3)(5x)x3(x鈭�3)=5(x+5)x2

Therefore, the final answer is 5(x+5)x2.

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