Simplify the expression to a + bi form: (2-9i)^(2) Answer:

Expand Expression: Expand the expression using the formula (a - b)^2 = a^2 - 2ab + b^2, where a = 2 and b = 9i. (2 - 9i)^2 = (2)^2 - 2*(2)*(9i) + (9i)^2Calculate Terms: Calculate each term separately. (2)^2 = 4 -2*(2)*(9i) = -36i (9i)^2 = 81i^2 Since i^2 = -1, we have 81i^2 = 81*(-1) = -81Combine Calculated Terms: Combine the calculated terms. (2 - 9i)^2 = 4 - 36i - 81Simplify Expression: Simplify the expression by combining like terms. 4 - 36i - 81 = (4 - 81) - 36i = -77 - 36i

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Simplify the expression to a + bi form:

(2-9i)^(2)
Answer:

Simplify the expression to a + bi form: $\newline$ $(2-9 i)^{2}$ $\newline$ Answer:

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Algebra 2

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Q. Simplify the expression to a + bi form:

\newline

(2-9 i)^{2}

\newline

Answer:

Expand Expression: Expand the expression using the formula $(a - b)^2 = a^2 - 2ab + b^2$ , where $a = 2$ and $b = 9i$ . $(2 - 9i)^2 = (2)^2 - 2\cdot(2)\cdot(9i) + (9i)^2$
Calculate Terms: Calculate each term separately. $\newline$ $(2)^2 = 4$ $\newline$ $-2*(2)*(9i) = -36i$ $\newline$ $(9i)^2 = 81i^2$ $\newline$ Since $i^2 = -1$ , we have $81i^2 = 81*(-1) = -81$
Combine Calculated Terms: Combine the calculated terms. $\newline$ $(2 - 9i)^2 = 4 - 36i - 81$
Simplify Expression: Simplify the expression by combining like terms. $4 - 36i - 81 = (4 - 81) - 36i = -77 - 36i$