Algebra-1

To find the result of multiplying the complex number (3 - 4i) by its conjugate, we first identify the conjugate of (3 - 4i).

Step 1: Find the Conjugate

The conjugate of a complex number is obtained by changing the sign of its imaginary part. A complex number is typically written in the form:

a + bi

where (a) is the real part and (b) is the imaginary part. The conjugate is given by:

a - bi

 

The conjugate of (3 - 4i) is:

3 + 4i

 

Step 2: Multiply the Complex Number by Its Conjugate

Now, we will multiply (3 - 4i) by (3 + 4i):

(3 - 4i)(3 + 4i)

 

Using the formula for multiplying conjugates,