SOLUTION: Factor Completely: 9x^9 -16x^7 + 9x^6 -16x^4

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Question 119395: Factor Completely:
9x^9 -16x^7 + 9x^6 -16x^4

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Factor out the GCF


Now let's focus on the inner expression



Start with the inner expression

Group like terms


Factor out the GCF out of the first group. Factor out the GCF out of the second group


Since we have the common term , we can combine like terms




Now factor by using the sum of cubes to get and factor by using the difference of squares to get



Reintroduce the GCF



So factors to

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