Simplify the expression to a + bi form: (-9+i)(-11+5i) Answer:

Multiply Real Parts: Multiply the real parts of the complex numbers. Real parts: -9 and -11 Multiplication of real parts: (-9) * (-11) = 99Multiply Imaginary Parts: Multiply the imaginary parts of the complex numbers. Imaginary parts: i and 5i Multiplication of imaginary parts: i * 5i = 5i^2 Since i^2 = -1, we have 5i^2 = 5(-1) = -5Multiply Real and Imaginary: Multiply the real part of the first complex number by the imaginary part of the second complex number. Real part of the first complex number: -9 Imaginary part of the second complex number: 5i Multiplication: (-9) * (5i) = -45iCombine Results: Multiply the imaginary part of the first complex number by the real part of the second complex number. Imaginary part of the first complex number: i Real part of the second complex number: -11 Multiplication: i * (-11) = -11iFinal Expression: Combine the results from steps 1 to 4 to get the final expression. From step 1: 99 From step 2: -5 From step 3: -45i From step 4: -11i Combine: 99 - 5 + (-45i) + (-11i)Simplify Combined Expression: Simplify the combined expression by adding real parts and imaginary parts separately. Real parts: 99 - 5 = 94 Imaginary parts: -45i - 11i = -56i Final expression: 94 - 56i

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Simplify the expression to a + bi form:

(-9+i)(-11+5i)
Answer:

Simplify the expression to a + bi form: $\newline$ $(-9+i)(-11+5 i)$ $\newline$ Answer:

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Algebra 2

Write a quadratic function from its x-intercepts and another point

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Q. Simplify the expression to a + bi form:

\newline

(-9+i)(-11+5 i)

\newline

Answer:

Multiply Real Parts: Multiply the real parts of the complex numbers. $\newline$ Real parts: $-9$ and $-11$ $\newline$ Multiplication of real parts: $(-9) \times (-11) = 99$
Multiply Imaginary Parts: Multiply the imaginary parts of the complex numbers. $\newline$ Imaginary parts: $i$ and $5i$ $\newline$ Multiplication of imaginary parts: $i \times 5i = 5i^2$ $\newline$ Since $i^2 = -1$ , we have $5i^2 = 5(-1) = -5$
Multiply Real and Imaginary: Multiply the real part of the first complex number by the imaginary part of the second complex number. $\newline$ Real part of the first complex number: $-9$ $\newline$ Imaginary part of the second complex number: $5i$ $\newline$ Multiplication: $(-9) \times (5i) = -45i$
Combine Results: Multiply the imaginary part of the first complex number by the real part of the second complex number. $\newline$ Imaginary part of the first complex number: $i$ $\newline$ Real part of the second complex number: $-11$ $\newline$ Multiplication: $i \times (-11) = -11i$
Final Expression: Combine the results from steps $1$ to $4$ to get the final expression. $\newline$ From step $1$ : $99$ $\newline$ From step $2$ : $-5$ $\newline$ From step $3$ : $-45i$ $\newline$ From step $4$ : $-11i$ $\newline$ Combine: $99 - 5 + (-45i) + (-11i)$
Simplify Combined Expression: Simplify the combined expression by adding real parts and imaginary parts separately. $\newline$ Real parts: $99 - 5 = 94$ $\newline$ Imaginary parts: $-45i - 11i = -56i$ $\newline$ Final expression: $94 - 56i$