SOLUTION: Factor 90a<sup>8n+1</sup>b<sup>2</sup>-25a<sup>4n+1</sup>b<sup>2n+2</sup>-240ab<sup>4n+2</sup>

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Question 795952: Factor 90a8n+1b2-25a4n+1b2n+2-240ab4n+2

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
90a8n+1b2-25a4n+1b2n+2-240ab4n+2

Factor out 5ab2

5ab2(18a8n-5a4nb2n-48b4n)

The expression in parentheses is a trinomial that factors just like 
                       18x²-5xy-48y² factors as (2x+3y)(9x-16y)

5ab2(2a4n+3b2n)(9a4n-16b2n)

The second expression in parentheses factors as the difference of squares,
                       just like 9x²-16y² factors as (3x-4y)(3x+4y)

5ab2(2a4n+3b2n)(3a2n-4bn)(3a2n+4bn)

Edwin