Question

Use the sum of cubes identity to find the factors of the expression
`8x^(6) +27y^(3)`. Write your answer in the form of the expression on the right of the sum of cubes identity.

Answer 1

The left term is 8x⁶ = (2x²)³.

The right term is 27y³ = (3y)³.

The sum of cubes identity is

... a³ +b³ = (a +b)(a² -ab +b²)

Filling in the values for a and b, the factors of your expression are ...

... (2x² +3y)(4x⁴ -6x²y +9y²)