Which of the options below is equivalent to $$8x^3 + 27y^3 + 36x^2y + 54xy^2$$​​

Correct option is B

Given:

​$$8x^3 + 27y^3 + 36x^2y + 54xy^2$$​​

Formula Used:

​$$(a+b)^3 =a^3 + b^3 +3ab(a+b)$$​​

Solution:

​$$8x^3 + 27y^3 + 36x^2y + 54xy^2$$​​

​$$(2x)^3 + (3y)^3 + 3(2x)(3y)(2x + 3y)$$​​

​$$=(2x+3y)^3$$​​