123456
of 6

Freaky Factoring


Factor

70( x^2 + 3 )^6 + 30( x^2 + 3 )^7
Blob powers differ by 1... 
Take the smallest blob out...
(and deal with the 70 and 30)

70( x^2 + 3 )^6 + 30( x^2 + 3 )^7 ... slash off the ^7 and cross out the ( x^2 + 3 )^6 ... = 10( x^2 + 3 )^6 [ 7 + 3( x^2 + 3 )] ... clean it up ... = 10( x^2 + 3 )^6 ( 7 + 3x^2 + 9 ) = 10( x^2 + 3 )^6 ( 3x^2 + 16 )

 

TRY IT:

Factor30( x - 5 )^3 - 18x^2( x - 5 )^2

OK, now we're going to get weirder...  and more like these will really be.

What if there are two types of blobs?

Factorw^2 k^2 + wk^2