# How do you simplify (7-6i)(-8+3i)?

Sep 2, 2016

$\left(7 - 6 i\right) \left(- 8 + 3 i\right) = - 38 + 69 i$

#### Explanation:

While doing any multiplication or division exercise involving complex numbers, one must always remember that ${i}^{2} = - 1$.

Hence, $\left(7 - 6 i\right) \left(- 8 + 3 i\right)$

= 7×(-8)+7×3i-6i×(-8)-6i×3i

= $- 56 + 21 i + 48 i - 18 {i}^{2}$

= -56+69i-18×(-1)

= $- 56 + 69 i + 18$

= $- 38 + 69 i$