The equivalent expression of (-45 - 22i) + 2(5 - 3i)(5 + 3i) is 23 - 22i
How to determine the complex number?
The complex expression is given as:
(-45 - 22i) + 2(5 - 3i)(5 + 3i)
Apply the difference of two squares on the expression
(-45 - 22i) + 2(5^2 - (3i)^2)
Evaluate the squares
(-45 - 22i) + 2(25 + 9)
Expand the bracket
-45 - 22i + 68
Evaluate the like terms
23 - 22i
Hence, the equivalent expression of (-45 - 22i) + 2(5 - 3i)(5 + 3i) is 23 - 22i
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