Find the product or quotient. Write the answer in standard form.
-$$( 5 - 8 i ) ( 7 + 4 i )$$
A) $67 - 36 i$
B) $3 - 76 \mathrm { i }$
C) $- 32 i ^ { 2 } - 36 i + 35$
D) $67 + 36 i$

Question

Quizplus · Accepted Answer

To find the product, use the distributive property (FOIL method): $(5 - 8i)(7 + 4i) = 35 + 20i - 56i - 32i^2$. Since $i^2 = -1$, the expression simplifies to $35 - 36i + 32 = 67 - 36i$.

Find the Product or Quotient (5−8i)(7+4i)( 5 - 8 i ) ( 7 + 4 i )(5−8i)(7+4i)

Find the Product or Quotient $( 5 - 8 i ) ( 7 + 4 i )$