= 6x^2y + 2xy^2 - 4x^2
Like terms are terms that have the same variables and exponents.
In the given problem, the only like terms are 10x²y and -4x²y; adding these gives us 6x²y. Bringing down the rest of the terms gives us
The given expression is:
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:
So, the final expression would be
The first to expression remains the same, because they are not like terms, so we can do nothing with them.
Write an expression that shows their sum
Collect Like Terms
Reorder the polynomial
Hence, is equivalent to
I think it is C (-4x^2)+2xy^2+[10x^2y+(-4x^2y)]
idk but hope u find the answer
The answer to your question is letter C
A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2 : in this polynomial the first term is not a like term, then this is incorrect.
B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)] : in this polynomial, the terms that are grouped, are not like terms, then is incorrect.
C. (-4x2) + 2xy2 + [10x2y + (-4x2y)] ; This polynomial is the right answer because the like terms are grouped.
D. [10x2y + 2xy2 + (-4x2y)] + (-4x2): This polynomial is incorrect because one of the terms that are grouped is not a like term.