Perform each operation. Write the answer in standard form.

Question

(5 + 6𝑖)(−4 + 7𝑖)

Fraction: 4-i/1+2i

Fraction: 1+7i/9-2i

Answer 1

-20 + 35i - 24i - 42 = -62 + 11i

(4-i)/(1+2i) = (4-i)(1-2i)/[(1+2i)(1-2i)]

= (4 -9i -2)/[1 +4]

= (2-9i)/5

(1+7i)/(9-2i) = (1+7i)(9+2i)/[ (9-2i)(9+2i)]

= (9 + 65i -14)/ [ 81 +4]

= (-5 + 65i)/(85)

= (-1 + 13i)/17