Problem

b) $\left(-\frac{1}{3} x y\right)+\left(+\frac{4}{9} x y\right)+\left(-\frac{1}{9} x y\right)$

Answer

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Answer

\(\boxed{0}\) is the final answer.

Steps

Step 1 :The given expression is \(-\frac{1}{3} x y + \frac{4}{9} x y - \frac{1}{9} x y\).

Step 2 :The expression contains three terms, all of which are products of x and y with different coefficients.

Step 3 :To simplify the expression, we need to add the coefficients of the like terms. In this case, the like terms are the terms that contain the product of x and y.

Step 4 :The sum of the coefficients of the like terms is 0.

Step 5 :Therefore, the simplified form of the expression \(-\frac{1}{3} x y + \frac{4}{9} x y - \frac{1}{9} x y\) is 0.

Step 6 :\(\boxed{0}\) is the final answer.

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