Use polynomial Identities to factor 8-27n^3

Name: use polynomial identities to factor 8-27n^3
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Question

Answer 1

To factor the expression

, we can use the sum of cubes formula. The sum of cubes formula is given by:

In this case, we need to rewrite the expression in the form of

, which is the difference of cubes. The difference of cubes formula is:

Let's rewrite

as the difference of cubes:

Now, we can apply the difference of cubes formula:

So,

Simplify the terms inside the parentheses:

Therefore, the factored form of

is:

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