Respuesta :

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 [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]

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