Q:

Show all work to multiply (3+ V-16)(6-7-64).

Accepted Solution

A:
Answer:50Explanation:(6+√−64)(3−√−16)(6+-64)(3--16)Rewrite −64-64 as −1(64)-1(64).(6+√−1(64))(3−√−16)(6+-1(64))(3--16)Rewrite √−1(64)-1(64) as √−1⋅√64-1⋅64.(6+√−1⋅√64)(3−√−16)(6+-1⋅64)(3--16)Rewrite √−1-1 as ii.(6+i⋅√64)(3−√−16)(6+i⋅64)(3--16)Rewrite −16-16 as −1(16)-1(16).(6+i⋅√64)(3−√−1(16))(6+i⋅64)(3--1(16))Rewrite √−1(16)-1(16) as √−1⋅√16-1⋅16.(6+i⋅√64)(3−(√−1⋅√16))(6+i⋅64)(3-(-1⋅16))Rewrite √−1-1 as ii.(6+i⋅√64)(3−(i⋅√16))(6+i⋅64)(3-(i⋅16))Simplify terms.(6+8i)(3−4i)(6+8i)(3-4i)Expand (6+8i)(3−4i)(6+8i)(3-4i) using the FOIL Method.6⋅3+6(−4i)+8i⋅3+8i(−4i)6⋅3+6(-4i)+8i⋅3+8i(-4i)Simplify and combine like terms.50