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QuizMultiple Choice

Simplifying Polynomial Expressions — Quiz

Question 1 • Algebra II

What is the correct order of operations for simplifying the expression 2 minus 3 x plus 5 plus 7 times open paren y minus 5 x close paren squared plus x ?

Answer
A
distribute 7 inside the parentheses, square the binomial, and then combine like terms
B
square the binomial, combine like terms, and then distribute 7 inside the parentheses
C
combine like terms, square the binomial, and then distribute 7 inside the parentheses
D
square the binomial, distribute 7 inside the parentheses, and then combine like terms

Explanation

Follow the order of operations: simplify the exponent first by squaring the binomial (y − 5x)². Then multiply the result by 7, distributing 7 across its terms if needed. Finally, combine like terms in the full expression, such as the standalone constants and x-terms. This matches “square the binomial, distribute 7 inside the parentheses, and then combine like terms.”

AI-written and checked against the verified answer.

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