Multiply. Write the result in the form a + bi.
-( $( 8 + 7 i ) ( 7 - 6 i )$
A) $$98 + 1 i$$
B) $14 + 97 i$
C) $98 - 1 \mathrm { i }$
D) $- 42 i ^ { 2 } + 1 i + 56$

Question

Quizplus · Accepted Answer

To multiply two complex numbers, you use the distributive property (FOIL method for binomials): $(8 + 7i)(7 - 6i) = 8*7 + 8*(-6i) + 7i*7 + 7i*(-6i) = 56 - 48i + 49i - 42i^2$. Since $i^2 = -1$, the expression simplifies to $56 + 1i + 42 = 98 + 1i$.

Multiply Write the Result in the Form a + Bi (8+7i)(7−6i)( 8 + 7 i ) ( 7 - 6 i )(8+7i)(7−6i)

Multiply Write the Result in the Form a + Bi $( 8 + 7 i ) ( 7 - 6 i )$