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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 8.167 (page 839)

Multiply: $(4 - 3 i) (4 + 3 i)$

Short Answer

Expert verified

The solution of the above equation is $25$

Step by step solution

Given information

We are given a equation $(4 - 3 i) (4 + 3 i)$

Use FOIL

$16 + 12 i - 12 i - 9 i^{2}$

Combine line terms and simplify i2

$16 - (- 9)$

Multiply and combine like terms

We get, $25$

Conclusion

The solution of the above equation is $25$

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Most popular questions from this chapter

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(a) $\sqrt{10 m}$

(b) $\sqrt[5]{3 n}$

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a. $\frac{u^{\frac{4}{5}} 路 u^{\frac{- 2}{5}}}{u^{\frac{- 13}{5}}}$ b. ${(\frac{27 x^{\frac{4}{5}} y^{\frac{1}{6}}}{x^{\frac{1}{5}} y^{\frac{- 5}{6}}})}^{\frac{1}{3}}$

In the following exercises, use the Product Property to simplify radical expressions a. $\sqrt[4]{32}$ ,b. $\sqrt[5]{64}$

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Multiply:(4-3i)(4+3i)

Short Answer

Step by step solution

Given information

Use FOIL

Combine line terms and simplify i2

Multiply and combine like terms

Conclusion

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Multiply: $(4 - 3 i) (4 + 3 i)$