5
QuizMultiple Choice

Simplifying Polynomial Expressions

Question 5 • Algebra III A

Brayden is simplifying the expression 4n – (n – 3)2. He begins by distributing the negative to the terms inside the parentheses. What should he have done instead?

Answer
A
combine like terms
B
square the binomial
C
cube the binomial
D
rewrite the expression as a fraction

Explanation

The exponent 2 applies to the entire binomial (n − 3), so Brayden should square the binomial before simplifying the subtraction. For example, (n − 3)² = n² − 6n + 9, and then the minus sign in 4n − (n − 3)² can be distributed. The correct choice is “square the binomial.”

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