Simplify the following expression:
7.23×7.23−7.23×2.77+2.77×2.77
7.23×7.23×7.23+2.77×2.77×2.77
​

Let a=7.23 and b=2.77.
The expression can be rewritten in algebraic form as:

a
2
−ab+b
2

a
3
+b
3

​

Using the algebraic identity for the sum of cubes:

a
3
+b
3
=(a+b)(a
2
−ab+b
2
)
Substitute this into the expression:

a
2
−ab+b
2

(a+b)(a
2
−ab+b
2
)
​
=a+b
Now, substitute the values of a and b back into the simplified expression:

a+b=7.23+2.77=10.00