Simplify the expression to a + bi form: (5-6i)(-9-9i) Answer:

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Simplify the expression to a + bi form:  (5-6i)(-9-9i) Answer:

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Apply Distributive Property: To simplify the expression (5-6i)(-9-9i), we will use the distributive property (also known as the FOIL method for binomials), which states that for any complex numbers a, b, c, and d, (a + bi)(c + di) = ac + adi + bci + bdi^2. Let's multiply the real parts and the imaginary parts accordingly. Calculation: (5)(-9) + (5)(-9i) + (-6i)(-9) + (-6i)(-9i)Calculate Real and Imaginary Parts: Now we will calculate each part separately. First, multiply the real parts: (5)(-9) = -45. Second, multiply the real part of the first term by the imaginary part of the second term: (5)(-9i) = -45i. Third, multiply the imaginary part of the first term by the real part of the second term: (-6i)(-9) = 54i. Fourth, multiply the imaginary parts: (-6i)(-9i) = 54i^2. Remember that i^2 = -1.Combine and Substitute: Combine the results from the previous step and substitute i^2 with -1. Calculation: -45 - 45i + 54i + 54(-1)Simplify Expression: Simplify the expression by combining like terms. Calculation: -45 - 45i + 54i - 54 Combine the real parts: -45 - 54 = -99. Combine the imaginary parts: -45i + 54i = 9i.Final Result: Write the final result in a + bi form. Calculation: -99 + 9i

Simplify the expression to a + bi form: $\newline$ $(5-6 i)(-9-9 i)$ $\newline$ Answer:

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Simplify the expression to a + bi form:\newline(5−6i)(−9−9i) (5-6 i)(-9-9 i) (5−6i)(−9−9i)\newlineAnswer:

Simplify the expression to a + bi form: $\newline$ $(5-6 i)(-9-9 i)$ $\newline$ Answer: