Use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor the following. 1 - 27 a³ A)( 1 - 3 a )( 1 - 6 a + 9 a² ) B)( 1 - 3 a )( 1 - 3 a + 9 a² ) C)( 1 - 3 a )( 1 + 3 a + 9 a² ) D)( 1 + 3 a )( 1 + 3 a + 9 a² ) E)( 1 - 3 a )( 1 + 6 a + 9 a² )

Question

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The expression 1 - 27a^3 is a difference of cubes: 1^3 - (3a)^3. It factors as (1 - 3a)(1 + 3a + 9a^2).

Use the Sum-Of-Two-Cubes or the Difference-Of-Two-Cubes Pattern to Factor the Following