Factorize and simplify

8x³-27y³

1 answer

To factorize 8x³ - 27y³, we can use the difference of cubes formula, which states that a³ - b³ = (a - b)(a² + ab + b²).

Since our expression is already in the form a³ - b³ (where a = 2x and b = 3y), we can directly apply the formula:

8x³ - 27y³ = (2x - 3y)(4x² + 6xy + 9y²)

This is the factored form of the given expression.
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