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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 409 (page 636)

In the following exercises, factor completely
$5 u^{4} - 45 u^{2}$ .

Short Answer

Expert verified

The factors of the given expression are $5 u^{2} (u - 3) (u + 3)$ .

Step by step solution

01

Step 1. Given and explanation

We have $5 u^{4} - 45 u^{2}$ .

The above expression can be solved using the formula,

$a^{2} - b^{2} = (a + b) (a - b)$

02

Step 2. Factorizing the expression.

We have $5 u^{4} - 45 u^{2}$ .

Now,

$5 u^{4} - 45 u^{2} = 5 u^{2} (u^{2} - 9) = 5 u^{2} (u + 3) (u - 3)$

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Most popular questions from this chapter

Factor by Grouping In the following exercises, factor by grouping.

$p q - 10 p + 8 q - 80$

In the following exercises, factor using the ‘ac’ method. $48 y^{2} + 12 y - 36$

In the following exercises, factor completely.

$x^{2} - 10 x + 25 - y^{2}$

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$ .

$x^{2} - 8 x + 7$

Factor completely using trial and error: $4 b^{2} + 5 b + 1$

See all solutions

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