Question

Find the product. Express your answer in standard form.(6-71)(4 +61)Answer

Answer 1

Step-by-step explanation

We must compute the product of two complex numbers:

`(6-7i)*(4+6i).`

1) We apply the distributive property for the multiplication:

`6*4+6*6i-7i*4-7i*6i.`

2) Simplifying the expression above, we have:

`\begin{gathered} 24-42* i^2+36i-28i, \\ =24-42*(-1)+8i, \\ =66+8i. \end{gathered}`

Where we have used that the square of the imaginary unit is -1:

`i^2=-1.`Answer

The result of the product is:

`66+8i`