# How do you multiply  (8-2i)(6-7i)  in trigonometric form?

Jul 22, 2017

Just like multiplying polynomials in Algebra, use the distribution property to multiply the terms and use the property of imaginary numbers t simplify it further.

#### Explanation:

$\left(8 - 2 i\right) \left(6 - 7 i\right)$

Distribute the terms into a polynomial.

$= 14 {i}^{2} - 68 i + 48$

Now, we do know that:

${i}^{1} = i$
${i}^{2} = - 1$
${i}^{3} = - i$
${i}^{4} = 1$
and the pattern goes on and on...

We can now simplify it to:

$= 34 - 68 i$