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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q. 763 (page 806)

In the following exercises, simplify the expression.
$(n - 6) (n^{2} - 5 n + 4)$

Short Answer

Expert verified

The simplified expression is $n^{3} - 11 n^{2} + 34 n - 24$ .

Step by step solution

01

Step 1. Given information.

Consider the given question,

$(n - 6) (n^{2} - 5 n + 4)$

02

Step 2. Simplify the expression.

We need to simplifying the expression, $(n - 6) (n^{2} - 5 n + 4)$ .

$= n (n^{2} - 5 n + 4) - 6 (n^{2} - 5 n + 4) = n 路 n^{2} - n 路 5 n + n 路 4 - 6 路 n^{2} + 6 路 5 n - 6 路 4$

Using the property, $a^{x} . a^{y} = a^{x + y}$ ,

$= n^{1 + 2} - 5 n^{1 + 1} + 4 n - 6 n^{2} + 30 n - 24 = n^{3} - 5 n^{2} + 4 n - 6 n^{2} + 30 n - 24 = n^{3} - 11 n^{2} + 34 n - 24$

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