Cool math Algebra Help Lessons: Factoring Polynomials - Undoing the Distributive Property

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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

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

out of

What would be left?

Or...

What would we need to multiply

by to get

back up to

We need another

... and a

...

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

out of

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!

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