Find the product and write the result in standard form.
-$$( 9 + 5 i ) ( 4 - 7 i )$$
A) $71 - 43 \mathrm { i }$
B) $71 + 43 \mathrm { i }$
C) $1 + 83 \mathrm { i }$
D) $- 35 i ^ { 2 } - 43 i + 36$

Question

Quizplus · Accepted Answer

To find the product of $(9 + 5i)(4 - 7i)$, we use the distributive property (FOIL method): $$9(4) + 9(-7i) + 5i(4) + 5i(-7i) = 36 - 63i + 20i - 35i^2.$$ Since $i^2 = -1$, the expression simplifies to $36 - 43i + 35 = 71 - 43i$.

Find the Product and Write the Result in Standard Form (9+5i)(4−7i)( 9 + 5 i ) ( 4 - 7 i )(9+5i)(4−7i)

Find the Product and Write the Result in Standard Form $( 9 + 5 i ) ( 4 - 7 i )$