I'm trying to factor this completely and I'm very stuck! 

8x3 + 343



You have to memorize this pair of rules:

   

A3 + B3 factors as (A + B)(A2 - AB + B2)



A3 - B3 factors as (A - B)(A2 + AB + B2)



You'll need the first one.



Write 8x3 as (2x)3 and write 343 as 73



 8x3 + 73



(2x)3 + 73



Then use A = 2x and B = 7 in the first rule above



(2x)3 + 73 factors as (2x + 7)[(2x)2 - (2x)(7) + 72] =



(2x + 7)[(2x)2 - (2x)(7) + 72] =



(2x + 7)[4x2 - 14x + 49]



(2x + 7)(4x2 - 14x + 49)



Edwin

AnlytcPhil@aol.com



 

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