Final answer:
To find what should be subtracted, set up an equation and rearrange it to solve for the unknown quantity. This involves algebraic manipulation and subtraction of polynomials.
Step-by-step explanation:
The question asks what must be subtracted from (a² b² c²-3abc) to yield (2a²-b²-3c² abc). To find out what should be subtracted, we can set up an equation:
(a² b² c² - 3abc) - (Unknown) = (2a² - b² - 3c² + abc)
Rearranging the equation to solve for the 'Unknown' gives us:
Unknown = (a² b² c² - 3abc) - (2a² - b² - 3c² + abc)
Thus, subtracting the term (a² b² c² - 3abc) from itself and adding the term (2a² - b² - 3c² + abc) yields the 'Unknown' quantity that needs to be subtracted.
The solution to what must be subtracted involves algebraic manipulation and subtraction of polynomials.