Express as a complex number in simplest a+bi form: (8+3i)/(-9-7i) Answer:

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Express as a complex number in simplest a+bi form:  (8+3i)/(-9-7i) Answer:

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Multiply by Conjugate: To divide complex numbers, we multiply the numerator and denominator by the conjugate of the denominator. The conjugate of a complex number a + bi is a - bi. So, the conjugate of -9 - 7i is -9 + 7i.Multiply Numerator and Denominator: Now, we multiply both the numerator and the denominator by the conjugate of the denominator: (8 + 3i) * (-9 + 7i) / ((-9 - 7i) * (-9 + 7i))Expand Numerator: First, we'll multiply out the numerators using the distributive property (FOIL method): (8 * -9) + (8 * 7i) + (3i * -9) + (3i * 7i)Calculate Numerator: Now, we calculate each term: -72 - 56i - 27i + 21i^2 Remembering that i^2 = -1, we substitute -1 for i^2: -72 - 56i - 27i - 21Combine Like Terms: Combine like terms in the numerator: -72 - 21 - 56i - 27i -93 - 83iExpand Denominators: Now, we'll multiply out the denominators: (-9 * -9) + (-9 * 7i) + (-7i * -9) + (-7i * 7i)Calculate Denominator: Calculate each term in the denominator: 81 - 63i + 63i - 49i^2 Again, substituting -1 for i^2: 81 - 49(-1)Simplify Denominator: Simplify the denominator: 81 + 49 130Simplified Fraction: Now we have the simplified numerator and denominator: (-93 - 83i) / 130Divide Real and Imaginary Parts: Divide both the real part and the imaginary part of the numerator by the denominator: -93/130 - (83i/130)Final Answer: Simplify both fractions to get the final answer in a + bi form: -93/130 - 83i/130

Express as a complex number in simplest a+bi form: $\newline$ $\frac{8+3 i}{-9-7 i}$ $\newline$ Answer:

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Express as a complex number in simplest a+bi form:\newline8+3i−9−7i \frac{8+3 i}{-9-7 i} −9−7i8+3i​\newlineAnswer:

Express as a complex number in simplest a+bi form: $\newline$ $\frac{8+3 i}{-9-7 i}$ $\newline$ Answer: