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Multiply each term of the second expression by each of the terms in the first expression and add them together, collecting like terms together:
(x - 6)(3x² + 10x - 1) = x(3x² + 10x - 1) + (-6)(3x² + 10x - 1)
= (3x³ + 10x² - x) + (-18x² - 60x + 6)
= 3x³ + 10x² - 18x² - x - 60x + 6
= 3x² + (10 - 18)x² + (-1 - 60)x + 6
= 3x² - 8x² - 61x + 6
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