d $$ 5(x y)^{2}-5 x^{2} y^{2}+5 x y^{2}-5 x^{2} y $$

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UpStudy AI · Accepted Answer

1. Begin with the given expression:
   $$
   5(xy)^2 - 5x^2y^2 + 5xy^2 - 5x^2y.
   $$

2. Recognize that $$(xy)^2$$ is equivalent to $$x^2y^2$$. Substitute this into the expression:
   $$
   5x^2y^2 - 5x^2y^2 + 5xy^2 - 5x^2y.
   $$

3. Notice that the first two terms cancel each other out:
   $$
   5x^2y^2 - 5x^2y^2 = 0.
   $$
   Thus, the expression simplifies to:
   $$
   5xy^2 - 5x^2y.
   $$

4. Factor out the common factor $$5xy$$ from the remaining terms:
   $$
   5xy^2 - 5x^2y = 5xy(y - x).
   $$

The simplified expression is:
$$
5xy(y - x).
$$
The simplified expression is $$5xy(y - x)$$.

d

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