Question

Which expression shows the sum of the polynomials with like terms grouped together? 10x2y + 2xy2 - 4x2 - 4x2y

A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2

B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)]

C. (-4x2) + 2xy2 + [10x2y + (-4x2y)]

D. [10x2y + 2xy2 + (-4x2y)] + (-4x2)

Answer 1

The answer is C. (-4x2) + 2xy2 + [10x2y + (-4x2y)]

Answer 2

The answer to your question is letter C

Explanation:

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.