Question

Which expression shows the sum of the polynomials with like terms grouped together 10x2y+2xy2-4x2y-4x2y

Answer 1

10x^2y-4x^2y + 2xy^2 - 4x^2
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= 6x^2y + 2xy^2 - 4x^2

Answer 2

`10x^(2)y+2xy^(2)-8x^(2)y`

Explanation:

The given expression is:

`10x^(2)y+2xy^(2)-4x^(2)y-4x^(2)y`

To sum the like terms in the polynomial, we have to observe which terms have the same literal part, that is, the same variables with the same exponents.

As you can observe, the two last terms are the only like terms, so we group them:

`10x^(2)y+2xy^(2)+(-4-4)x^(2)y`

So, the final expression would be

`10x^(2)y+2xy^(2)-8x^(2)y`

The first to expression remains the same, because they are not like terms, so we can do nothing with them.