The value of the expression$$(1.55^2+0.55^2+1.55×0.55)$$​ is equal to:

Correct option is B

Given:

​$$(1.55^2+0.55^2+1.55×0.55)$$ 

Formula Used:

$$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$$ 

Solution:

$$(1.55^2+0.55^2+1.55×0.55)$$ 

$$1\times(1.55^2+0.55^2+1.55×0.55)$$​

(1.55-0.55)*$$(1.55^2+0.55^2+1.55×0.55)$$

Let a = 1.55 and b= 0.55

​$$a^3-b^3= (a - b)(a^2 + ab + b^2)$$​​

After comparing, we get

(1.55-0.55)*$$(1.55^2+0.55^2+1.55×0.55)$$ =$$1.55^3-0.55^3$$ ​