The expression of (9 + 4i) + (–1 – 7i) has the sum (8 – 3i) which correct option(B).
A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.
Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
(B) (9 + 4i) + (–1 – 7i)
⇒ (9 + 4i) + (–1 – 7i)
⇒ 9 + 4i –1 – 7i
Rearrange the terms like wise and apply arithmetic operations
⇒ 9 - 1 + 4i - 7i
⇒ 8 – 3i
Hence, the expression of (9 + 4i) + (–1 – 7i) has the sum (8 – 3i).
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