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Firdavs [7]
3 years ago
11

Donte simplified the expression below.

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0
Based on the given solution above made by Donte, the mistake that he made is that h<span>e did not apply the distributive property correctly for 4(1 + 3i). The answer is option A. Here is why. If we simplify this, it would look like this:
</span><span>4(1 + 3i) – (8 – 5i) 
4+12i - 8 + 5i
17i-4
so, </span>4(1 + 3i) – (8 – 5i) should be equal to 17i - 4. 
Hope this is the answer that you are looking for. Have a great day!
sergij07 [2.7K]3 years ago
6 0
The answer is: [A]: He did not apply the distributive property correctly for                                        4(1 + 3i) .
_____________________________________________
Explanation:
______________________
Note the distributive property of multiplication:
_____________________________
a*(b+c) = ab + ac.
____________________________
As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
_____________________________________
Instead, Donte somehow incorrectly calculated:
_____________________________________
4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);

Note:  - (8 - 5i) = -8 + 5i (done correctly; 
___________________________________
So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
_____________________________
4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
__________________
This corresponds to: "Answer choice: [A]: <span>He did not apply the distributive property correctly for 4(1 + 3i)."
___________________________</span>
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