Find $( 2 + 7 i ) ( 4 + 3 i )$ and express the answer in the standard form of a complex number.
A) $8 + 21 i$
B) $- 29 - 34 i$
C) $- 13 + 34 i$
D) $29 + 34 i$

Question

Quizplus · Accepted Answer

To multiply two complex numbers, we use the distributive property: $(2 + 7i)(4 + 3i) = 2*4 + 2*3i + 7i*4 + 7i*3i = 8 + 6i + 28i + 21i^2$. Since $i^2 = -1$, this simplifies to $8 + 34i - 21 = -13 + 34i$.

Find (2+7i)(4+3i)( 2 + 7 i ) ( 4 + 3 i )(2+7i)(4+3i)

Find $( 2 + 7 i ) ( 4 + 3 i )$