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Nadya [2.5K]
3 years ago
14

If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
5 0

Answer:

a^2+b^2

Step-by-step explanation:

We are given that (a+ib)(a-ib)

We are given that a and b are both not equal to zero

We have to find the product of (a+ib)(a-ib)

a(a-ib)+ib(a-ib)

a^2-iab+iba-i^2b^2

We know that i^2=-1

Substitute the value then we get

a^2-(-1)b^2

a^2+b^2

Hence, (a+ib)(a-ib)=a^2+b^2

Alexxx [7]3 years ago
3 0
Foil or distribute

(a+bi)(a-bi)
seems to be a difference of 2 perfect square factored
remember
a^2+b^2=(a+b)(a-b)

so
(a+bi)(a-bi)=(a)^2-(bi)^2
remember, i^2=-1
a^2-(-1b^2)
a^2+b^2
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