Multiplication is the process of multiplying. The value of A-BC is equal to -19-17i.
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The value of BC is,
BC = (4-2i)×(1+6i)
BC = 4 + 24i - 2i -12i²
BC = 4 + 22i - 12(-1)
BC = 4 + 22i +12
BC = 16 + 22i
Now, the value of A-BC will be equal to,
A-BC = (-3+5i)-(16+22i)
= -3+5i-16-22i
= -19 - 17i
Hence, the value of A-BC is equal to -19-17i.
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