Find the value of 22.2×22.2+124.32+2.8×2.8.

Let's look at the structure of the given expression:
E=22.2×22.2+124.32+2.8×2.8
This can be written in the form of a
2
+2ab+b
2
where:
a=22.2
b=2.8

Let's check the middle term 2ab:

2ab=2×22.2×2.8=44.4×2.8=124.32
Since the middle term matches perfectly, the expression simplifies to (a+b)
2
:

E=(22.2+2.8)
2

E=(25)
2
=625