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