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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 219 (page 604)

In the following exercises, factor completely.
$8 p^{2} + 2$

Short Answer

Expert verified

The factored form of the given expression is $2 (4 p^{2} + 1)$ .

Step by step solution

01

Step 1. Given information.

The given expression is:
$8 p^{2} + 2$

02

Step 2. Determine the factored form.

The given expression can be written as:
$\begin{array}{rcl} 8 p^{2} + 2 & = & 2 脳 4 p^{2} + 2 脳 1 \\ = & 2 (4 p^{2} + 1) \end{array}$

03

Step 3. Conclusion.

The factored form of the given expression is $2 (4 p^{2} + 2)$ .

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Most popular questions from this chapter

Maribel factored $y^{2} - 30 y + 81$ as ${(y - 9)}^{2}$ . Was she right or wrong? How do you know?

In the following exercises, factor completely using the difference of squares pattern, if possible.
$x^{2} - 16 x + 64 - y^{2}$

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

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

Factor Trinomials of the Form $a x^{2} + b x + c$ Using Trial and Error.

$5 y^{2} + 16 y + 11$

In the following exercises, factor completely.

${(x + 1)}^{3} + 8 x^{3}$

See all solutions

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