How do you simplify (2 + i)(3 - 5i)?

Feb 20, 2016

$i i - 7 i$

Explanation:

These can be multiplied in a manner similar to expanding brackets:

$\left(2 + i\right) \left(3 - 5 i\right) = 6 + 3 i - 10 i - 5 {i}^{2}$

Remember that $i = \sqrt{- 1}$ so ${i}^{2} = - 1$

This will in turn allow us to gather the like terms like so:

$6 + 5 + 3 i - 10 i = 11 - 7 i$