Complex Numbers - Cool math Algebra Help Lessons - Factoring the Sum of Two Squares

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Coolmath Algebra
Complex Numbers Lesson 2 - Factoring the Sum of Two Squares
(page 1 of 2)
---- This algebra lesson explains how to factor the sum of two squares.

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Remember the difference of two squares?

We can factor this guy:

You've probably been told that you couldn't factor this guy...

x^2 + 9
The SUM of two squares.

Well, they fibbed... You CAN factor this guy... Just not with real numbers.

We just need one more thing though:

Since

Squaring both sides gives

i^2 = -1

So, check this out:

I claim that

x^2 + 9 factors as ( x - 3i ) ( x + 3i )
Just like the difference of two squares... but with i's after the numbers.

Continued on the next page

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