PRECALCULUS:...COMMON CORE ED.-W/ACCESS
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
10th Edition
ISBN: 9780134781839
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
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Chapter P.6, Problem 47E
Solution

To write the expression 2+3i2−3i in standard form.

  13+0i

Given:

The expression, 2+3i2−3i .

Concept used:

  • Product of powers property, an⋅am=an+m
  • FOIL to multiply binomials, a+bc+d=a⋅c+a⋅d+b⋅c+b⋅d
  • Properties of complex number: −1=i, i2=−1, i3=−i
  • The complex conjugate of a+bi is a−bi .
  • Difference of squares formula, a+ba−b=a2−b2

Calculation:

In order to write the given expression in standard form, using multiply binomials and then solving the expression as shown below:

  2+3i2−3i4−6i+6i−9i2putting i2=−14−9−14+913

Thus, the standard form of the given expression is 13+0i .

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Chapter P.6, Problem 46E
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Chapter P.6, Problem 48E

Chapter P Solutions

PRECALCULUS:...COMMON CORE ED.-W/ACCESS

Ch. P.1 - Prob. 1QRCh. P.1 - Prob. 2QRCh. P.1 - Prob. 3QRCh. P.1 - Prob. 4QRCh. P.1 - Prob. 5QRCh. P.1 - Prob. 6QRCh. P.1 - Prob. 7QRCh. P.1 - Prob. 8QRCh. P.1 - Prob. 9QRCh. P.1 - Prob. 10QR
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