Correct option is A

Given:

x = -5, y = -7

Formula Used:

​$$(a- b)^3 = a^3 - b^3 - 3ab(a- b)$$

Solution:

$$27x^3 - 58x^2y + 31xy^2 - 8y^3$$​

= $$27x^3 - 8y^3 - 54x^2y - 4x^2y+ 36xy^2 - 5xy^2$$​​

= $$(3x - 2y)^3 - 4x^2y - 5xy^2$$

Putting the value of x = -5 and y = -7 

​$$= (3 \times -5 - 2 \times -7)^3 - 4 \times (-5)^2 \times (-7) - 5 \times (-5) \times (-7)^2 \\= (-15 + 14)^3 + 4 \times 25 \times 7 + 25 \times 49 \\= (-1)^3 + 700 + 1225 \\= -1 + 1925 \\= 1924$$​​