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lesson pretestMultiple Choice

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Question 3 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

What is the difference of the polynomials? open paren negative 2 x cubed y squared plus 4 x squared y cubed minus 3 x y to the 4th power close paren minus open paren 6 x to the 4th power y minus 5 x squared y cubed minus y to the 5th power close paren

Answer
A
negative 6 x to the 4th power y minus 2 x cubed y squared minus x squared y cubed minus 3 x y to the 4th power minus y to the 5th power
B
negative 6 x to the 4th power y minus 7 x cubed y squared plus 4 x squared y cubed minus 3 x y to the 4th power minus y to the 5th power
C
negative 6 x to the 4th power y minus 2 x cubed y squared plus 9 x squared y cubed minus 3 x y to the 4th power plus y to the 5th power
D
negative 6 x to the 4th power y plus 3 x cubed y squared plus 4 x squared y cubed minus 3 x y to the 4th power plus y to the 5th power

Explanation

Distribute the subtraction sign across the second polynomial, changing each of its signs: −6x⁴y + 5x²y³ + y⁵. Then combine like terms with the first polynomial: the x²y³ terms add to 4x²y³ + 5x²y³ = 9x²y³, while the other terms remain −6x⁴y, −2x³y², −3xy⁴, and +y⁵. This matches choice C.

AI-written and checked against the verified answer.

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