Simplify the expression to a + bi form: (1+7i)(11+8i) Answer:

Distribute Terms: Distribute each term in the first complex number by each term in the second complex number. (1+7i)(11+8i) = 1*(11+8i) + 7i*(11+8i)Multiply Parts: Multiply the real parts and the imaginary parts separately. 1*(11+8i) = 11 + 8i 7i*(11+8i) = 77i + 56i^2 Since i^2 = -1, replace i^2 with -1. 77i + 56(-1) = 77i - 56Replace i^2: Combine the real parts and the imaginary parts. (11 + 8i) + (77i - 56) = 11 - 56 + 8i + 77iCombine Parts: Simplify the expression by adding the real parts and the imaginary parts. 11 - 56 + 8i + 77i = -45 + 85i

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Simplify the expression to a + bi form:

(1+7i)(11+8i)
Answer:

Simplify the expression to a + bi form: $\newline$ $(1+7 i)(11+8 i)$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify the expression to a + bi form:

\newline

(1+7 i)(11+8 i)

\newline

Answer:

Distribute Terms: Distribute each term in the first complex number by each term in the second complex number. $\newline$ $(1+7i)(11+8i) = 1\times(11+8i) + 7i\times(11+8i)$
Multiply Parts: Multiply the real parts and the imaginary parts separately. $\newline$ $1*(11+8i) = 11 + 8i$ $\newline$ $7i*(11+8i) = 77i + 56i^2$ $\newline$ Since $i^2 = -1$ , replace $i^2$ with $-1$ . $\newline$ $77i + 56(-1) = 77i - 56$
Replace $i^2$ : Combine the real parts and the imaginary parts. $\newline$ $(11 + 8i) + (77i - 56) = 11 - 56 + 8i + 77i$
Combine Parts: Simplify the expression by adding the real parts and the imaginary parts. $11 - 56 + 8i + 77i = -45 + 85i$