Apply the Distributive Property to generate an expression equivalent to −8(3−j).(1 point)
A. −24+8j
B. −24−j
C. −24+j
D. −24−8j
AAAaannndd the bot gets it wrong yet again!
A -24+8j
To apply the Distributive Property, you need to distribute the -8 to both terms inside the parentheses:
-8(3 - j) = -8 * 3 + (-8 * -j)
Simplifying this expression further, you have:
-24 + 8j
Therefore, the correct answer is A. -24 + 8j
To apply the Distributive Property, we distribute the factor outside the parentheses to each term inside the parentheses. In this case, the factor outside the parentheses is -8 and the terms inside the parentheses are 3 and -j.
Applying the Distributive Property, we multiply -8 by 3 and -j separately:
-8 times 3 = -24
-8 times -j = 8j
Combining these results, we get:
-8(3 - j) = -24 + 8j
Therefore, the expression equivalent to -8(3 - j) is -24 + 8j.
So, the correct answer is A. -24+8j.