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Simplifying Expressions

Question 3 • AJH Pre-Algebra A (Grade 8)

Identify the properties used for the first two steps in simplifying 6ab2 + 4a2b – 3ab2 + 3a2b – 2a2b2. 6ab2+4a2b-3ab2+3a2b-2a2b2 = 4a2b+3a2b-3ab2+6ab2-2a2b2

Answer
A
associative property of addition
B
commutative property of addition
C
distributive property

Explanation

The terms have been reordered: 4a²b and 3a²b move ahead of −3ab² and 6ab², while the terms themselves remain unchanged. Reordering terms in a sum uses the commutative property of addition. The associative property changes grouping, and the distributive property expands or factors multiplication over addition.

AI-written and checked against the verified answer.

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