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If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?

The imaginary part is zero.
The real part is zero.
The imaginary part is positive.
The real part is not positive.

Respuesta :

calculista

Answer:

The imaginary part is zero.

Step-by-step explanation:

we know that

Applying the difference of squares formula  

[tex]a^2-bi^2=(a+bi)(a-bi)[/tex]

Remember that

[tex]i^{2}=-1[/tex]

substitute

[tex]a^2-bi^2=a^2-b^2(-1)=a^2+b^2[/tex]

therefore

The imaginary part is zero.

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