Multiply the following complex numbers:(3 - 5i)(5 - 7i)A.-20 - 46iB.-20 + 46iC.40 - 46iD.40 + 46iSUBMITarrow_backPREVIOUS
Question
Multiply the following complex numbers:(3 - 5i)(5 - 7i)A.-20 - 46iB.-20 + 46iC.40 - 46iD.40 + 46iSUBMITarrow_backPREVIOUS
Solution
To multiply complex numbers, you can use the distributive property, just like you would with real numbers. Here's how you can do it:
Step 1: Distribute each part of the first complex number to each part of the second complex number.
(3 - 5i)(5 - 7i) = 35 + 3(-7i) - 5i5 - 5i(-7i)
Step 2: Simplify the expression.
= 15 - 21i - 25i + 35i^2
Step 3: Remember that i^2 = -1.
= 15 - 21i - 25i - 35
Step 4: Combine like terms.
= -20 - 46i
So, the answer is A. -20 - 46i.
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