Question

7·(2i + 12) =
your answer should be a complex number in the form a + bi where a and b are real numbers.

Explanation:

Step1: Apply distributive property

Using the distributive property \( a\cdot(b + c)=a\cdot b + a\cdot c \), we have \( 7\cdot(2i + 12)=7\cdot2i+7\cdot12 \).

Step2: Calculate each term

Calculate \( 7\cdot2i = 14i \) and \( 7\cdot12 = 84 \). Then combine the terms to get \( 84 + 14i \).

Answer:

\( 84 + 14i \)