Question

What is the value of the expression given below (8-3i) - (8-3i)(8+8i)

Answer 1

At first let's multiply the second terms of the given expression. So,

(8-3i)(8+8i) = 8*8 +8*8i - 3i*8 -3i*8i

= 64 + 64i -24i -24i^2 (By multiplying)

= 64 +40i -24*(-1) (Adding the like terms and i^2=1)

=64 +40i +24 (Since (-24)*(-1)= +24)

= 88+40i (Adding the like terms).

Now the original equation is :

(8-3i) - (8-3i)(8+8i) = (8-3i)-(88+40i)

=8 - 3i -88 -40i

=(8-88)-3i -40i (By grouping the like terms)

=-80 -43i (Combine the like terms).

So, the value of the given expression is -80 -43i.