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Answer :
The result is 39 - 80i
What is an expression?
Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
Given expression,
(8 - 5i)²
And the expression is in quadratic form.
We solve the expression using quadratic formula;
(a-b)² = a²-2ab+b²
Now,
(8 - 5i)²
= 64 + 25i² - 80i
= 64 - 25 - 80i
= 39 - 80i
Therefore, the result is 39 - 80i
To learn more about the expression;
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Answer:
39 - 80i
Step-by-step explanation:
(8 - 5i)²
= (8 - 5i)(8 - 5i) (expand using FOIL. See attached for reference)
= (8)(8) + (8)(-5i) + (-5i)(8) + (-5i)(-5i)
= 64 - 40i - 40i + 25i²
= 64 - 80i + 25i² (recall that i² = -1)
= 64 - 80i + 25(-1)
= 64 - 80i - 25
= 39 - 80i
