Answer :
The Correct option is option D.
Using Multiplcation operation ,
The simplfy form of product expression is 89- 80i
Algebra of multiplication operation :
Multiplication is an operation that represents the basic idea of adding the same number over and over again. Multiplied numbers are called factors, and the result obtained after multiplying two or more numbers is known as the product of those numbers.
we have given an expression ,
(8 - 5i )²
we have to simplify the above expression
step 1 : (8 - 5i ) (8-5i) = (a-bi)(a-bi) , a= 8 , b = 5
step 2 : [multiply (a-bi) by a] - bi multiplied with every digits of second bracket
=> 8 ( 8-5i) - 5i(8-5i)
=> 8×8 - 8×5i - 5i× 8 + 5i× 5i
=> 64 - 40i - 40i + 25 i²
Now, add the same looking terms , that is constant add to constant and i terms with i terms so on .
=> 64 - 80i + 25i²
i^2 = -1 , put in above equation
=> 64 - 80i + 25 (-1) = 64 - 80i -25
=>89 - 80i
The required result or simplfy value of given expression is (89- 80i)
To learn more about Multiplication operation , refer:
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