-   Given expression = (8.94)3 - (3.56)3 (8.94)2 + 8.94 x 3.56 + (3.56)2 =   a3 - b3 a2 + ab + b2           = (a - b) = (8.94 - 3.56) = 5.38

To solve this problem, we will use the following formulas:

(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac

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

Using these formulas, we can simplify the expression as follows:

8.94 x 8.94 x 8.94 - 3.56 x 3.56 x 3.56

= (8.94)^3 - (3.56)^3

= (8.94 - 3.56)((8.94)^2 + (8.94)(3.56) + (3.56)^2) [Using (a-b)(a^2 + ab + b^2) = a^3 - b^3]

= (5.38)(8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56)

Now we can substitute these values in the given expression to obtain:

8.94 x 8.94 x 8.94 - 3.56 x 3.56 x 3.56 8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56

= (5.38)(8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56) / (8.94 x 8.94 + 8.94 x 3.56 + 3.56 x 3.56)

= 5.38

Therefore, the correct answer is option B, 5.38.

In summary, to solve this problem, we used the formulas for the cube of a binomial and the square of a trinomial to simplify the expression and then substituted the values to obtain the final answer. It is important to remember these formulas and to use algebraic manipulation to simplify complex expressions.

If you think the solution is wrong then please provide your own solution below in the comments section .