The simplified expression of the complex number expression is -32 + 148i
How to rewrite the complex number expression?
The expression is given as:
(-41 + 3i) - (-11 + 15i) (-6 + 5i)
Evaluate the product
(-41 + 3i) - (-11 + 15i) (-6 + 5i) = (-41 + 3i) - (66 - 55i -90i - 75)
Open the brackets
(-41 + 3i) - (-11 + 15i) (-6 + 5i) = -41 + 3i - 66 + 55i +90i + 75
Evaluate the like terms
(-41 + 3i) - (-11 + 15i) (-6 + 5i) = -32 + 148i
Hence, the simplified expression of the complex number expression is -32 + 148i
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