Question

What is the value of the expression given below? (8-3i)-(8-3i)(8+8i)

Answer 1

Answer:

-76-43i

Step-by-step explanation:

First expand the multiplied terms

8-3i-(64+64i-24i+24)

8-3i-(64+40i+24)

Simplify

8-3i-64-40i-24

-76-43i

Answer 2

Answer:

$-80-43i$

Step-by-step explanation:

$(8-3i)-(8-3i)(8+8i)$

To find the value of the expression we need to simplify it

LEts multiply the parenthesis part using FOIL method

$(8-3i)-(64+64i-24i-24i^2)$

$(8-3i)-(64+40i-24i^2)$

The value of i^2 is -1

$(8-3i)-(64+40i-24(-1))$

$(8-3i)-(64+40i+24)$

$(8-3i)-(88+40i)$

Now we remove the parenthesis

$8-3i-88-40i$

combine like terms

$-80-43i$