SOLUTION: Hello I'm new to this site, I wanted to know if there is a easy and short way to solve this problem? (2+3i)(1-5i)

Question 168737: Hello I'm new to this site, I wanted to know if
there is a easy and short way to solve this problem?
(2+3i)(1-5i)

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression.

Now let's FOIL the expression.

Remember, when you FOIL an expression, you follow this procedure:

Multiply the First terms:.

Multiply the Outer terms:.

Multiply the Inner terms:.

Multiply the Last terms:.

---------------------------------------------------

Now collect every term to make a single expression.

Now combine like terms.

Replace with -1 (note: I'm assuming that you are dealing with imaginary numbers, so remember that )

Multiply

Combine like terms.

So FOILs and simplifies to .

In other words, .

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