Simplify the following expression. (2x-3)(5x^4-7x^3+6x^2-9)

The answer to your question is  10x⁵ - 29x⁴ + 33x³ - 18x² - 18x - 27

Step-by-step explanation:

Process

1.- Multiply

(2x - 3) (5x⁴ - 7x³ + 6x² - 9) = 10x⁵ - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² - 27

2.- Simplify like terms

                                            = 10x⁵ + (-14x⁴ -15x⁴) + (12x³ + 21x³) + (-18x²) + (-18x)

                                               - 27

                                           = 10x⁵ - 29x⁴ + 33x³ - 18x² - 18x - 27

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