Final answer:
The expression equivalent to (g-h)(g²-3gh+2h²) is g³ - gh² - 3g²h + 3gh + 2gh² - 2h³.
Step-by-step explanation:
The expression (g-h)(g²-3gh+2h²) can be simplified using the distributive property. We can distribute (g-h) to each term inside the parentheses.
This gives us (g-h)(g²) + (g-h)(-3gh) + (g-h)(2h²).
Simplifying further, we have g(g²) - h(g²) - 3gh(g) + 3h(g) + 2h²(g) - 2h²(h).
Combining like terms, the expression simplifies to g³ - gh² - 3g²h + 3gh + 2gh² - 2h³.
Therefore, the expression equivalent to (g-h)(g²-3gh+2h²) is g³ - gh² - 3g²h + 3gh + 2gh² - 2h³.