Simplify the expression to a + bi form: (10+2i)^(2) Answer:

Apply formula: First, we need to apply the formula (a + bi)^2 = a^2 + 2abi - b^2, where a = 10 and b = 2i. Calculation: (10 + 2i)^2 = 10^2 + 2 * 10 * 2i + (2i)^2Calculate parts: Now, we calculate each part of the expression separately. Calculation: 10^2 = 100, 2 * 10 * 2i = 40i, and (2i)^2 = (2^2)(i^2) = 4 * (-1) = -4, since i^2 = -1.Combine calculated parts: Combine the calculated parts to get the simplified expression. Calculation: 100 + 40i - 4 = (100 - 4) + 40i = 96 + 40i

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Simplify the expression to a + bi form:

(10+2i)^(2)
Answer:

Simplify the expression to a + bi form: $\newline$ $(10+2 i)^{2}$ $\newline$ 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

(10+2 i)^{2}

\newline

Answer:

Apply formula: First, we need to apply the formula $(a + bi)^2 = a^2 + 2abi - b^2$ , where $a = 10$ and $b = 2i$ . $\newline$ Calculation: $(10 + 2i)^2 = 10^2 + 2 \times 10 \times 2i + (2i)^2$
Calculate parts: Now, we calculate each part of the expression separately. $\newline$ Calculation: $10^2 = 100$ , $2 \times 10 \times 2i = 40i$ , and $(2i)^2 = (2^2)(i^2) = 4 \times (-1) = -4$ , since $i^2 = -1$ .
Combine calculated parts: Combine the calculated parts to get the simplified expression. $\newline$ Calculation: $100 + 40i - 4 = (100 - 4) + 40i = 96 + 40i$