Question

Use appropriate formula to simplify

2

2 3 2

3 2

x y xy

       

(2)​

Answer 1

Answer:

Step-by-step explanation:

(3x+2y)  

2

+(3x−2y)  

2

 

Using identity:

(a+b)  

2

=a  

2

+b  

2

+2ab

(a−b)  

2

=a  

2

+b  

2

−2ab

Therefore,

(3x+2y)  

2

+(3x−2y)  

2

 

=[(3x)  

2

+(2y)  

2

+2(3x)(2y)]+[(3x)  

2

+(2y)  

2

−2(3x)(2y)]

=[9x  

2

+4y  

2

+12xy]+[9x  

2

+4y  

2

−12xy]

=9x  

2

+4y  

2

+12xy+9x  

2

+4y  

2

−12xy

=18x  

2

+8y  

2

 

=2(9x  

2

+4y  

2

)

Hence (3x+2y)  

2

+(3x−2y)  

2

=2(9x  

2

+4y  

2

).