If a = 5 and b = $-$2 then the find the value of:(a $-$ b)² $-$ (a $+$ b)²

Given: (a $-$ b)2 $-$ (a $+$ b)2 

To find: Here we have to find the value of given expression (a $-$ b)2 $-$ (a $+$ b)2 when, a = 5 and b = $-$2.

Solution:

Value of a = 5 and b = $-$2;

Put values of a and b in the equation below; 

= (5 $-$ ($-$2))2 $-$ (5 $+$ ($-$2))2 

= (5 $+$ 2)2 $-$ (5 $-$ 2)2 

= (7)2 $-$ (3)2 

= 49 $-$ 9

= 40

So, value of given expression (a $-$ b)2 $-$ (a $+$ b)2 when, a = 5 and b = $-$2 is 40.