Simplify the expression to a + bi form: (-3+5i)^(2) Answer:

Expand Expression: Expand the expression (-3+5i)^(2) using the formula (a+b)^2 = a^2 + 2ab + b^2, where a = -3 and b = 5i. (-3+5i)^(2) = (-3)^2 + 2*(-3)*5i + (5i)^2Calculate Terms: Calculate each term separately. (-3)^2 = 9 2*(-3)*5i = -30i (5i)^2 = 25i^2Simplify i^2 Term: Remember that i^2 = -1, so we can simplify the term with i^2. 25i^2 = 25*(-1) = -25Combine Terms: Combine all the terms to get the final expression. 9 - 30i - 25Final Expression: Simplify the expression by combining like terms. 9 - 25 = -16 So, the final expression is -16 - 30i.

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Simplify the expression to a + bi form:

(-3+5i)^(2)
Answer:

Simplify the expression to a + bi form: $\newline$ $(-3+5 i)^{2}$ $\newline$ 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

(-3+5 i)^{2}

\newline

Answer:

Expand Expression: Expand the expression $(-3+5i)^{2}$ using the formula $(a+b)^2 = a^2 + 2ab + b^2$ , where $a = -3$ and $b = 5i$ . $(-3+5i)^{2} = (-3)^2 + 2*(-3)*5i + (5i)^2$
Calculate Terms: Calculate each term separately. $\newline$ $(-3)^2 = 9$ $\newline$ $2*(-3)*5i = -30i$ $\newline$ $(5i)^2 = 25i^2$
Simplify $i^2$ Term: Remember that $i^2 = -1$ , so we can simplify the term with $i^2$ . $\newline$ $25i^2 = 25*(-1) = -25$
Combine Terms: Combine all the terms to get the final expression. $9 - 30i - 25$
Final Expression: Simplify the expression by combining like terms. $9 - 25 = -16$ So, the final expression is $-16 - 30i$ .