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It doesn't need a solution, because there's no question.

This is an expression, not an equation.

The algebra teacher may say "Factor this!", and then she wants an answer.

But it's the teacher's question, not the expression's question.

If there were an 'equals' sign in it somewhere ( ' = ' ), then there would be something to solve.

Here's the result of a little bit of factoring:

3x2y3 - 6x4y2 + 9x3y3=

3x2y2 (y - 2x2 + 3 xy)

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13y ago
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Q: How do you solve 3x2y3 - 6x4y2 plus 9x3y3?
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