SOLUTION: Factor {{{48x^3-3xp^4}}}

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Question 1086114: Factor 48x%5E3-3xp%5E4
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
48x%5E3-3xp%5E4

Take out common factor 3x

3x%2816x%5E2-p%5E4%29

Write each of the terms in the parentheses as squares:

3x%28%284x%5E%22%22%29%5E2-%28p%5E2%29%5E2%29

Factor parentheses as the product of the difference
and sum of the two square roots of the squares:

3x%28%284x%5E%22%22%29-%28p%5E2%29%5E%22%22%29%28%284x%5E%22%22%29%2B%28p%5E2%29%5E%22%22%29

Remove the inner parentheses, as they are unnecessary:

3x%284x%5E%22%22-p%5E2%5E%22%22%29%284x%5E%22%22%2Bp%5E2%5E%22%22%29

Edwin