6x2y2 + 3x2y – 4xy2 + 5x2y – 2x2y2
First, try using ^ for powers online
6x^2y^2 + 3x^2y – 4xy^2 + 5x^2y – 2x^2y^2
Now reorder stuff to make it easier to see like terms
6x^2y^2 - 2x^2y^2 + 3x^2y + 5x^2y - 4xy^2
Now collect like terms
4x^2y^2 + 8x^2y - 4xy^2
That may be all you want -- you didn't say. But, we can proceed by factoring out 4xy
4xy(xy + 2x - y)
To simplify the given expression: 6x^2y^2 + 3x^2y - 4xy^2 + 5x^2y - 2x^2y^2, we can combine like terms.
First, let's identify the like terms, which are terms that have the same variable(s) raised to the same exponent(s). In this expression, we have terms with x^2y^2, x^2y, and xy^2.
Now, let's combine the like terms:
6x^2y^2 - 2x^2y^2 = 4x^2y^2
3x^2y + 5x^2y = 8x^2y
-4xy^2 remains the same
Now, let's put all the combined terms together:
4x^2y^2 + 8x^2y - 4xy^2
And that's the simplified form of the given expression.