Question

Evaluate using identities 5.63 x 5.63 + 11.26 x 2.37 +2.37 x 2.37

Answer 1

By watching the numbers carefully, we see that they are in the form --
(5.63)square  + (2.37)square + 2x 5.63 x 2.37 
this means that they can be written as 
a square +b square +2 ab where a = 5.63 and b = 2.37 
so we can write it as (a+b)whole square 
(5.63 + 2.37) whole square 
(8) square 
= 64 
so, the answer is 64 

Answer 2

Given, 5.63 x 5.63 + 11.26 x 2.37 + 2.37 x 2.37

here 11.26 can be written as 2 x 5.63

then it will be, 5.63 x 5.63 + 2 x 5.63 x 2.37 + 2.37 x 2.37
                      = (5.63)² + 2 (5.63 x 2.37) + (2.37)²
                 
Let here 5.63 = a, 2.37 = b
So, above equation is in the form of a²+2ab+b² which is equal to (a+b)²

So, it can be written as (5.63+2.37)² = (8)² = 64