Question

Which expression is a difference of cubes?

Answer 1

Option 4 is correct.

Explanation:

Given the following options

we have to choose the difference of cubes.

Option 1:

`9w^(33)-y^(12)`

`9(w^(11))^(3)-(y^4)^3`

which is not the difference of cubes

Option 2:

`18p^(15)-q^(21)`

`18(p^5)^3-(q^7)^3`

which is not the difference of cubes

Option 3:

`36a^(22)-b^(16)`

`(6a^(11))^2-(b^8)^2`

which is the difference of square

Option 4:

`64c^(15)-a^(27)`

`(4c^5)^3-(a^9)^3`

which is the difference of cubes.