Simplify and write the following complex number in standard form. $( - 6 - 5 i ) ( - 3 + 2 i )$
A) $3 i$
B) $18 - 10 i$
C) $- 6 + 17 i$
D) $28 + 3 i$
E) $- 9 - 3 i$

Question

Quizplus · Accepted Answer

To simplify $(-6 - 5i)(-3 + 2i)$, distribute the terms: $(-6)(-3) + (-6)(2i) + (-5i)(-3) + (-5i)(2i) = 18 + (-12i) + 15i + (-10i^2)$. Since $i^2 = -1$, the expression becomes $18 + 3i + 10$, which simplifies to $28 + 3i$.

Simplify and Write the Following Complex Number in Standard Form (−6−5i)(−3+2i)( - 6 - 5 i ) ( - 3 + 2 i )(−6−5i)(−3+2i)

Simplify and Write the Following Complex Number in Standard Form $( - 6 - 5 i ) ( - 3 + 2 i )$