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Simplify (9-7i)-(3-4i)

User TaylorMac
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2 Answers

5 votes

Answer:

(6-3i)

by opening the brackets and multiplying with the negative sign before it and placing the like terms together

User Shanks
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3 votes
To simplify the expression (9-7i) - (3-4i), we'll use the distributive property of complex numbers.

First, let's distribute the negative sign inside the parentheses:
9 - 7i - 3 + 4i

Next, we'll combine the real parts (numbers without the "i") and the imaginary parts (numbers with the "i") separately:
(9 - 3) + (-7i + 4i)

This simplifies to:
6 - 3i

So, the simplified form of (9-7i) - (3-4i) is 6 - 3i.
User Prashant Shukla
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7.7k points

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