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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. 8.162 (page 838)

Multiply using the Binomial Squares pattern: ${(- 5 + 4 i)}^{2}$

Short Answer

Expert verified

The solution of the equation is $9 - 40 i$

Step by step solution

01

Given information

We are given an equation ${(- 5 + 4 i)}^{2}$

02

Use the Product of Binomial Squares Pattern (a+b)2=a2+2ab+b2

${(- 5)}^{2} + 2 (- 5) (4 i) + {(4 i)}^{2}$

03

Simplify

$25 - 40 i + 16 i^{2}$

04

Simplify i2 term

$25 - 40 i - 16$

05

Simplify the real part

$9 - 40 i$

06

Conclusion

The solution of the above equation is $9 - 40 i$

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Most popular questions from this chapter

In the following exercises, simplify using absolute value signs as needed. $\sqrt{125 r^{13}}, \sqrt[3]{108 x^{5}}, \sqrt[4]{48 y^{6}}$

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(a) $t^{\frac{1}{2}}$

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