Final answer:
The expression 9n²-15n³ can be factored by taking out the greatest common factor, which results in the factored form 3n²(3 - 5n).
Step-by-step explanation:
To factor the expression 9n²-15n³, we can start by finding common factors in both terms. The common factors include a '3', an 'n²', and a factor of '3n'. We factor out the greatest common factor, which in this case is 3n².
Now, we can rewrite the expression as:
3n²(3 - 5n)
This shows that the original expression 9n²-15n³ can be factored into 3n²(3 - 5n).
The factored form makes it easier to work with the expression in other algebraic operations.