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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 186 (page 603)

In the following exercises, factor completely using the difference of squares pattern, if possible.
$36 p^{2} - 49 q^{2}$

Short Answer

Expert verified

The complete factor of trinomial is $(6 p - 7 q) (6 p + 7 q)$ . $(6 p - 7 q) (6 p + 7 q)$ .

Step by step solution

01

Step 1. Given information

Consider the given trinomial

$36 p^{2} - 49 q^{2}$

02

Step 2. Formula used

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

03

Step 3. Write the trinomial as squares.

Write the trinomial as perfect squared form.

$36 p^{2} - 49 q^{2} = {(6 p)}^{2} - {(7 q)}^{2}$

Write them as product of conjugate.

${(6 p)}^{2} - {(7 q)}^{2} = (6 p - 7 q) (6 p + 7 q)$

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