Simplify the expression to a + bi form: (-6-7i)(-3+5i) Answer:

Distribute First Term: Distribute the first term of the first complex number across the second complex number. (-6)(-3) + (-6)(5i) = 18 - 30iDistribute Second Term: Distribute the second term of the first complex number across the second complex number. (-7i)(-3) + (-7i)(5i) = 21i - 35i^2 Since i^2 = -1, we can simplify -35i^2 to 35.Simplify Imaginary Parts: Combine the real parts and the imaginary parts from Step 1 and Step 2. Real parts: 18 + 35 = 53 Imaginary parts: -30i + 21i = -9iCombine Real and Imaginary: Write the final answer in a + bi form. The simplified expression is 53 - 9i.

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Simplify the expression to a + bi form:

(-6-7i)(-3+5i)
Answer:

Simplify the expression to a + bi form: $\newline$ $(-6-7 i)(-3+5 i)$ $\newline$ Answer:

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Q. Simplify the expression to a + bi form:

\newline

(-6-7 i)(-3+5 i)

\newline

Answer:

Distribute First Term: Distribute the first term of the first complex number across the second complex number. $\newline$ $(-6)(-3) + (-6)(5i) = 18 - 30i$
Distribute Second Term: Distribute the second term of the first complex number across the second complex number. $\newline$ $(-7i)(-3) + (-7i)(5i) = 21i - 35i^2$ $\newline$ Since $i^2 = -1$ , we can simplify $-35i^2$ to $35$ .
Simplify Imaginary Parts: Combine the real parts and the imaginary parts from Step $1$ and Step $2$ . $\newline$ Real parts: $18 + 35 = 53$ $\newline$ Imaginary parts: $-30i + 21i = -9i$
Combine Real and Imaginary: Write the final answer in $a + bi$ form. $\newline$ The simplified expression is $53 - 9i$ .