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Coolmath Precalculus Review Calculus Preview
Lesson 26 - Tools - Freaky Factoring (page 5 of 6)
---- This Precalculus review (Calculus preview) lesson explains how to do some freaky factoring that will pop up while doing something called the Product Rule in Calculus.

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YOUR TURN:

Factor:

14k^4 w + 56xk^3 w^2
 

14( x^2 - 3 )^4 ( 7x + 5 ) + 56x( x^2 - 3 )^3 ( 7x + 5 )^2


12x^2 w^6 y^3 + 12w^5 y^4


12x^2( 2x - 9 )^6 ( x^3 + 5 )^3 + 12( 2x - 9 )^5 ( x^3 + 5 )^4
 

The only other creepy thing that's going to happen with these is that some will have rational exponents...  fractions!  Not to worry though because they'll work the same way.  You just have to be able to pick which fraction is the smallest.

Let's start off easy:

Factor y^4 x^( -1 / 2 ) + y^3 x^( 1 / 2 )

y^4 x^( -1 / 2 ) + y^3 x^( 1 / 2 )  =  y^3 x^( -1 / 2 ) ( y + x )

The y's are easy... 
Which fraction power
is smaller?  That one
comes out!

 

That's it!  Multiply it back out if you don't believe me!

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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