find the product of (3a + 8b)(5a - 3b + 7c)
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= 3a (5a - 3b +7c) + 8b (5a - 3b + 7c)
= 15a^2 - 9ab + 21ac + 40ab - 24b^2 + 56bc
= 15a^2 + 31ab + 21ac + 56bc - 24b^2
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