Express as a complex number in simplest a+bi form: (6-6i)/(2-i) Answer:

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Express as a complex number in simplest a+bi form:  (6-6i)/(2-i) Answer:

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Write Given Complex Fraction: Write down the given complex fraction. We have the complex fraction (6-6i)/(2-i) that we want to express in the form a+bi.Multiply by Conjugate: Multiply the numerator and the denominator by the conjugate of the denominator. The conjugate of (2-i) is (2+i). We multiply both the numerator and the denominator by this conjugate to eliminate the imaginary unit i from the denominator. ((6-6i)(2+i))/((2-i)(2+i))Perform Multiplication: Perform the multiplication in the numerator and the denominator. Numerator: (6-6i)(2+i) = 12+6i-12i-6i^2 Denominator: (2-i)(2+i) = 4+2i-2i-i^2Simplify Expressions: Simplify the expressions in the numerator and the denominator. Numerator: 12+6i-12i-6i^2 = 12-6i+6 (since i^2 = -1) Denominator: 4+2i-2i-i^2 = 4+1 (since i^2 = -1)Combine Like Terms: Combine like terms in the numerator and the denominator. Numerator: 12-6i+6 = 18-6i Denominator: 4+1 = 5Divide Numerator by Denominator: Divide the numerator by the denominator to get the complex number in a+bi form. (18-6i)/5 = 18/5 - (6i/5)Write Final Answer: Write the final answer in a+bi form. The complex number in a+bi form is 18/5 - 6/5 i, or 3.6 - 1.2i.

Express as a complex number in simplest a+bi form: $\newline$ $\frac{6-6 i}{2-i}$ $\newline$ Answer:

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Express as a complex number in simplest a+bi form: $\newline$ $\frac{6-6 i}{2-i}$ $\newline$ Answer: