Here are the essential concepts you must grasp in order to answer the question correctly.
Complex Numbers
Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where 'a' is the real part and 'b' is the coefficient of the imaginary unit 'i', which is defined as the square root of -1. Understanding complex numbers is essential for performing operations involving them, such as addition, subtraction, multiplication, and division.
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Exponentiation
Exponentiation is a mathematical operation involving two numbers, the base and the exponent, where the base is multiplied by itself as many times as indicated by the exponent. In the expression (2 - i)², it is crucial to apply the exponent correctly, which involves multiplying (2 - i) by itself to simplify the expression before further operations.
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Standard Form of Complex Numbers
The standard form of a complex number is expressed as a + bi, where 'a' and 'b' are real numbers. When multiplying complex numbers, the result should be simplified to this form, ensuring that the imaginary unit 'i' is properly accounted for and that any like terms are combined to present the final answer clearly.
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Multiplying Complex Numbers