13
QuizMultiple Choice

Addition and Subtraction of Polynomials — Quiz

Question 13 • Algebra II

Which expression shows the sum of the polynomials with like terms grouped together? 10 x squared y plus 2 x y squared minus 4 x squared minus 4 x squared y

Answer
A
open paren negative 4 x squared close paren plus 2 x y squared plus open bracket 10 x squared y plus open paren negative 4 x squared y close paren close bracket
B
10 x squared y plus 2 x y squared plus open bracket open paren negative 4 x squared close paren plus open paren negative 4 x squared y close paren close bracket
C
open bracket 10 x squared y plus 2 x y squared plus open paren negative 4 x squared y close paren close bracket plus open paren negative 4 x squared close paren
D
open bracket open paren negative 4 x squared close paren plus open paren negative 4 x squared y close paren plus 10 x squared y close bracket plus 2 x y squared

Explanation

Like terms have the same variables raised to the same powers. The terms 10x²y and −4x²y are like terms, so they should be grouped together; −4x² and 2xy² do not match them or each other. Choice D groups 10x²y and −4x²y in brackets.

AI-written and checked against the verified answer.

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