(6a^2-a^3b^2+11b^3)-(5a^3b^2-4a^2+3b^2-10a) b. What is the coefficient of a^3b^2
To find the coefficient of a^3b^2, we need to collect like terms by combining the similar terms.
The given expression is:
(6a^2 - a^3b^2 + 11b^3) - (5a^3b^2 - 4a^2 + 3b^2 - 10a)
Rearranging the terms, we have:
- a^3b^2 - 5a^3b^2 + 6a^2 - 4a^2 - 11b^3 + 3b^2 + 10a
Now, let's collect the terms with a^3b^2 and a^2:
(a^3b^2 - 5a^3b^2) + (6a^2 - 4a^2) + (-11b^3 + 3b^2) + 10a
Combining like terms:
-4a^3b^2 + 2a^2 - 11b^3 + 3b^2 + 10a
Therefore, the coefficient of a^3b^2 is -4.