3a^3b^2(-a^3b-a^2b^2)=-3a^9b^3-3a^6b^4
*is this correct.?-
Remember to add exponents when multiplying with the same base.
(3a^3b^2)(-a^3b - a^2b^2) =
-3a^6b^3 - 3a^5b^4
I hope this will help.
To check if the provided answer is correct, we can simplify both sides of the equation and see if they are equivalent.
Starting with the left side:
3a^3b^2(-a^3b - a^2b^2) =
3a^3b^2 * -a^3b + 3a^3b^2 * -a^2b^2 =
-3a^6b^3 - 3a^5b^4
So based on the steps shown, the answer -3a^6b^3 - 3a^5b^4 is correct.
Remember that when multiplying terms with the same base, you add the exponents. In this case, the exponents are already combined correctly.