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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Thanks for taking the time to read Multiply and simplify the product tex 8 5i 2 tex Select the product A 39 B 89 C 39 80i D 89 80i. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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