8
QuizMultiple Choice

Simplifying Polynomial Expressions

Question 8 • Mathematics III A

What is the correct order of operations for simplifying the expression 2 – 3x + 5 + 7(y – 5x)2 + x?

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

Explanation

Follow the order of operations: handle the exponent before multiplication and addition. The 2 after the parentheses means to square the binomial (y − 5x) first; next distribute the 7 multiplying that squared expression, then combine any like terms in the whole expression. So the correct order is “square the binomial, distribute 7 inside the parentheses, and then combine like terms.”

AI-written and checked against the verified answer.