Question

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

Answer 1

50

Step-by-step explanation:

(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