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marishachu [46]
3 years ago
12

What is the value of the expression given below? (5+3i) - (5+3i)(5-5i

Mathematics
2 answers:
pentagon [3]3 years ago
8 0

Solution:

The given complex expression is,

→(5+3 i) - (5+3 i)(5-5 i)

Keep in mind, i=√-1, i²= -1

=(5 + 3 i)[1- (5-5 i)]

=(5 + 3 i)[1-5+ 5 i]

= (5 + 3 i)[-4 + 5 i]

=5 × (-4 + 5 i) + 3 i×(-4 + 5 i)→→Used the identity, (a+b)×(c+d)=a×(c+d)+b×(c+d), Also Used distributive property of multiplication over addition and subtraction.

= -20 + 25 i-12 i +15 i²

= - 20 + 13 i-15

= -35 + 13 i

Fantom [35]3 years ago
7 0
I think the answer would be

= -35 + 13 i
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