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Coolmath Algebra
Factoring Lesson 2 - Undoing the Distributive Property  (page 3 of 4)
---- This algebra lesson explains how to undo the distributive property.

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Altogether, we'll factor out a 2x (y^2)

2 (x^2) (y^5) - 4x (y^3) + 6 (x^4) (y^2) = 2x (y^2) ( _ ) ... we need to figure out what goes inside the parentheses

Think backwards -- and always keep distributing in mind.

Look at the first term:

We took   2x (y^2) out of 2 (x^2) (y^5)

What would be left?

Or...

What would we need to multiply 2x (y^2) by to get
back up to 2 (x^2) (y^5)   ?
We need another x ... and a y^3 ...

2 (x^2) (y^5) - 4x (y^3) + 6 (x^4) (y^2) = 2x (y^2) ( x (y^3) ____ ) ... check by distributing

Now, the second term:

We took 2x (y^2) out of -4x (y^3)

So, we need a -2... and a y...

2 (x^2) (y^5) - 4x (y^3) + 6 (x^4) (y^2) = 2x (y^2) (x (y^3) -2y ____ )

Check it!

Continued on the next page
 

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