Use the distributive property: a (b + c) = ab + ac
(3x² + 2x - 5) (2x - 3) = 3x² (2x - 3) + 2x (2x - 3) - 5 (2x - 3)
... = (6x³ - 9x²) + (4x² - 6x) + (-10x + 15)
... = 6x³ - 5x² - 16x + 15
Answer:
[tex]6 {x}^{3} + 5 {x}^{2} - 16x + 15[/tex]
Step-by-step explanation:
[tex]6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 6x - 10 x+ 15 \\ 6 {x}^{3} + 5 {x}^{2} - 16x + 15[/tex]
