Expand f(x) = \frac {1}{(3 - x)^3}.


Expand {eq}\displaystyle f(x) = \frac {1}{(3 - x)^3} {/eq}.

Expanding a cubic:

We are asked to expand the fraction above, which is equivalent to expanding a cubic.

Here is a shortcut, rather than manually expanding out

{eq}(3-x)(3-x)(3-x) {/eq}:

In general, if we have

{eq}(a+b)^3 {/eq} then its expanded form is:

{eq}a^3 +3a^2b + 3ab^2+b^3 {/eq}

Answer and Explanation:

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Learn more about this topic:

Expressions of Rational Functions

from Precalculus: High School

Chapter 13 / Lesson 4

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