# How do you simplify #(w^3-27)/(4w^2-5w-21)#?

Factorizing the obtained fraction

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To simplify the expression (w^3-27)/(4w^2-5w-21), we can factor both the numerator and the denominator. The numerator can be factored as the difference of cubes: (w-3)(w^2+3w+9). The denominator can be factored as (w-3)(4w+7).

Now, we can cancel out the common factor of (w-3) from both the numerator and the denominator.

Therefore, the simplified expression is (w^2+3w+9)/(4w+7).

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