Verify whether there is a result of multiplication of the complex numbers (-2i+5)(i+7) is a complex number.
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We'll remove the brackets, using FOIL method:
(-2i+5)(i+7) = -2i^2 - 14i + 5i + 35
We know that i^2 = -1
(-2i+5)(i+7) = 2 - 9i + 35
We'll combine real parts:
(-2i+5)(i+7) = 37 - 9i
The result of multiplication of the given complex numbers is also a complex number: 37 - 9i.
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