Final answer:
To solve the expression 10m²n² - 13mn² - 9n², factor out the common factor n², then factor the quadratic expression inside the parentheses. The solutions are n = 0, m = 3/2, and m = -3/5.
Step-by-step explanation:
To solve the expression 10m²n² - 13mn² - 9n², we can first factor out the common factor, which in this case is n².
n²(10m² - 13mn - 9) = 0
Now, we can factor the quadratic expression inside the parentheses:
n²(2m - 3)(5m + 3) = 0
Therefore, the solutions to the expression are n = 0, 2m - 3 = 0, or 5m + 3 = 0.
n = 0 means that n can be any value, so it doesn't affect the solutions. Solving the other two equations for m, we get m = 3/2 and m = -3/5.
Learn more about parentheses