Question

Simplify each rational expression. If the rational expression cannot be simplified, so state. $\frac{x^3+4 x^2-3 x-12}{x+4}$ 

   Simplify each rational expression. If the rational expression cannot be simplified, so state.
$\frac{x^3+4 x^2-3 x-12}{x+4}$
Introductory & Intermediate Algebra for College Students
Introductory & Intermediate Algebra for College Students
Robert F. Blitzer 4th Edition
Chapter 7, Problem 50 ↓
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Simplify each rational expression. If the rational expression cannot be simplified, so state. $\frac{x^3+4 x^2-3 x-12}{x+4}$
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Write each rational expression in lowest terms. $\frac{x^{3}+64}{x+4}$

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Transcript

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00:01 We have the expression x cubed plus 64 divided by x plus 4.
00:05 The numerator is the difference of cubes.
00:08 The difference of cubes, i'll use a and b, is equal to a plus b times a squared minus a, b plus b squared...
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