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Chapter 8: Q. 13 (page 917)

In the following exercises, evaluate the rational expression for the given values.

x2+3xy+2y22x3y(a)x=1,y=-1(b)x=2,y=1(c)x=-1,y=-2

Short Answer

Expert verified

The required answers are

Part(a)0Part(b)34Part(c)154

Step by step solution

01

Part(a) Step 1. Given Information 

The given expression isx2+3xy+2y22x3y

02

Part (a) Step 2. Calculation 

Substitute x=1,y=-1in the given expression,

x2+3xy+2y22x3y=(1)2+3(1)(-1)+2(-1)22(1)3(-1)=1-3+2-2=0-2=0

03

Part (b) Step 1. Calculation  

Substitute x=2,y=1in the given expression,

x2+3xy+2y22x3y=(2)2+3(2)(1)+2(1)22(2)3(1)=4+6+216=1216=34

04

Part (c) Step 1. Calculation   

Substitute x=-1,y=-2in the given expression,

x2+3xy+2y22x3y=(-1)2+3(-1)(-2)+2(-2)22(-1)3(-2)=1+6+84=154

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