# SOLUTION: I'm trying to factor this completely and I'm very stuck! 8x<sup>3</sup> + 343

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 Question 26247: I'm trying to factor this completely and I'm very stuck! 8x3 + 343Answer by AnlytcPhil(1277)   (Show Source): You can put this solution on YOUR website!```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 ```