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pantera1 [17]
4 years ago
14

What is the value of the expression given below?

Mathematics
2 answers:
Katyanochek1 [597]4 years ago
4 0

D -35+131

this is your answer

statuscvo [17]4 years ago
4 0

Answer:

D. -35+13i

Step-by-step explanation:

We have the expression (5+3i)-(5+3i)(5-5i), first we have to solve:

(5+3i)(5-5i) we have to apply <u>distributive property</u>.

<em>Distributive property: (a+b)(c+d)=ac+ad+bc+bd</em>

Then,

(5+3i)(5-5i)=5.(5)+5.(-5i)+3i.(5)+3i.(-5i)\\(5+3i)(5-5i)=25-25i+15i-15i^2\\(5+3i)(5-5i)=25-10i+15\\(5+3i)(5-5i)=(40-10i)

<em>Observation: i^2=(-1) then -15i^2=-15.(-1)=15</em>

Now replacing (5+3i)(5-5i)=(40-10i) in (5+3i)-(5+3i)(5-5i):

(5+3i)-(40-10i)=5+3i-40+10i=(5-40)+(3i+10i)=-35+13i

Then the correct answer ir: D. -35+13i

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