To Calculate: The standard form of the subtraction of the

Answer to Problem 55E
Standard form of z=21+i−31−i is z=−1−5i2 .
Explanation of Solution
Given information:
z=21+i−31−i
Concept and Formula Used:
The standard form of any complex number ‘z’ is given by z=a+ib, where a is called the real part and b is called the imaginary part of the complex number.
Also, i2=−1 and we use the identity
(a+b)(a−b)=a2−b2
We take the lowest common multiple of the denominators and subtract the two numbersby converting them to like fractions.
Calculation:
The given complex number is z=21+i−31−i
Taking the lowest common multiple of the denominators, we get
Conclusion:
Standard form of
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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