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  "body": "\n## Summary\n\nHere the distributive law is applied the other way around compared to the previous examples. Consider\n\n$$12 a^3 b^2 - 30 a^4 b c + 18 a^2 b^3 c^2 \\,.$$\n\nSince the factor $6 a^2 b$ occurs in all summands, it can be factored out. That is, due to the distributive law one obtains\n\n$$12 a^3 b^2 - 30 a^4 b c + 18 a^2 b^3 c^2 = 6 a^2 b \\left(2 a b - 5 a^2 c + 3 b^2 c^2\\right).$$\n",
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