find the middle term (2c - 12𝑑)10
"\\left( 2c-12d \\right) ^{10}\\\\The\\,\\,middle\\,\\,term\\,\\,is\\,\\,for\\,\\,5th\\,\\,powers:\\\\C_{10}^{5}\\left( 2c \\right) ^5\\left( -12d \\right) ^5=-2006581248c^5d^5\\\\"
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