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Factor 63a^5-21a^7
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\[-21 a^5 \left(a^2-3\right) \]
look at the factors or each term: 63a^5 = 3*3*7*a*a*a*a*a 21a^7 = 3*7 * a*a*a*a*a*a*a take out anything that is COMMON to both terms and that will be your greatest common factor....
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