2023HSCMultiple choice

Q1

1 mark

Question

Which of the following is equal to $(a+ib)^3$ ?

A. $(a^3-3ab^2)+i(3a^2b+b^3)$
B. $(a^3+3ab^2)+i(3a^2b+b^3)$
C. $(a^3-3ab^2)+i(3a^2b-b^3)$
D. $(a^3+3ab^2)+i(3a^2b-b^3)$

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Syllabus alignment

Complex Numbers

Arithmetic of complex numbersRepresent and calculate with complex numbers in Cartesian form, including conjugates, division, reciprocals and square roots.

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