Simplify the expression to a + bi form: (-12+2i)(-3+i) Answer:

Distribute Terms: Distribute each term in the first complex number by each term in the second complex number. (-12+2i)(-3+i) = (-12 * -3) + (-12 * i) + (2i * -3) + (2i * i)Perform Multiplication: Perform the multiplication for each term. (-12 * -3) = 36 (-12 * i) = -12i (2i * -3) = -6i (2i * i) = 2i^2Apply i^2 Rule: Remember that i^2 = -1, and apply this to simplify the term with i^2. 2i^2 = 2(-1) = -2Combine Like Terms: Combine like terms. 36 + (-12i) + (-6i) + (-2) = 36 - 2 - 12i - 6i = 34 - 18iFinal Answer: Write the final answer in a + bi form. The simplified expression is 34 - 18i.

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Simplify the expression to a + bi form:

(-12+2i)(-3+i)
Answer:

Simplify the expression to a + bi form: $\newline$ $(-12+2 i)(-3+i)$ $\newline$ Answer:

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Algebra 2

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Q. Simplify the expression to a + bi form:

\newline

(-12+2 i)(-3+i)

\newline

Answer:

Distribute Terms: Distribute each term in the first complex number by each term in the second complex number. $\newline$ $(-12+2i)(-3+i) = (-12 \times -3) + (-12 \times i) + (2i \times -3) + (2i \times i)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $(-12 \times -3) = 36$ $\newline$ $(-12 \times i) = -12i$ $\newline$ $(2i \times -3) = -6i$ $\newline$ $(2i \times i) = 2i^2$
Apply $i^2$ Rule: Remember that $i^2 = -1$ , and apply this to simplify the term with $i^2$ . $\newline$ $2i^2 = 2(-1) = -2$
Combine Like Terms: Combine like terms. $\newline$ $36 + (-12i) + (-6i) + (-2) = 36 - 2 - 12i - 6i = 34 - 18i$
Final Answer: Write the final answer in $a + bi$ form. $\newline$ The simplified expression is $34 - 18i$ .