Write (26 + 16i) − (26 − 7i) as a complex number in standard form.
The answer would be 23i.
Simplify ( 26 + 16i - 26 + 7i )
Gather like terms ( 26 - 26 ) + (16i + 7i)
Simplify (23i)
Answer: The required standard form of the complex number is \(0+23i.\)
Step-by-step explanation: We are given to write the following complex expression as a complex number in standard form :
\(E=(26+16i)-(26-7i)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
We know that
a complex can be written in standard form as follows :
\(z=a+bi,\) where a and b are real numbers.
From (i), we have
\(E\\\\=(26+16i)-(26-7i)\\\\=(26-26)+(16+7)i\\\\=0+23i.\)
Thus, the required standard form of the complex number is \(0+23i.\)