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QuizMultiple Choice

Simplifying Polynomial Expressions

Question 2 • Mathematics III A

Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)?

Answer
A
2x – 8(x + 2y) + (y – 7x)
B
2x – 3 – 5(3y – 6x)
C
2x – 3x – 6y – 5y + 35x
D
2x + 3x + 6y + 5y – 35x

Explanation

Use the distributive property on each set of parentheses: −3(x + 2y) becomes −3x − 6y, and −5(y − 7x) becomes −5y + 35x. This gives 2x − 3x − 6y − 5y + 35x, which is choice C.

AI-written and checked against the verified answer.

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