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Kryger [21]
3 years ago
14

Find the product of (x + 9i)^2 Find the product of (x+(3+5i))^2

Mathematics
1 answer:
Ket [755]3 years ago
3 0
Remember that
i =  \sqrt{1}
so
{i}^{2}  =  - 1  \:  \: and \:  \: {i}^{3} =  - i \:  \:  \: and  \:  \:  {i}^{4}  = 1
(a+ b)^2 = a^2 + 2ab + b^2

1. x^2 + 2x*9i + (9i)^2 = x^2 + 18xi - 81

2. x^2 + 2x*(3+5i)+ (3+5i)^2 = x^2 + 6x + 10xi+ 9+30i-25 = x^2 - 16 + 30i + 6x + 10xi
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