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Step-by-step explanation:
5a^2b^2c-15ab^2c^2+45a^2b^2c^2
factor..taking 5ab^2c common from 5a^2b^2c
5ab^2c(a^2)
taking 5ab^2c common from 15ab^2c^2
5ab^2c(3c)
taking out 5ab^2c from 45a^2b^2c^2
5ab^2c(7ac)
5ab^2c(a^2-3c+7ac)
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