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