Asked by drthg
Which property was used to simplify the expression?
mc006-1.jpg
distributive property
commutative property
associative property
inverse property
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the image. Please either paste the expression or describe the original and the simplified form (show the step that was done).
To help you identify the property, here are the usual forms and examples:
- Distributive property: a(b + c) = ab + ac (or factoring: ab + ac = a(b + c)). Example: 3(x + 5) → 3x + 15.
- Commutative property: order change in addition or multiplication: a + b = b + a or ab = ba. Example: x + 7 → 7 + x.
- Associative property: regrouping in addition or multiplication: (a + b) + c = a + (b + c) or (ab)c = a(bc). Example: (2 + 3) + 4 → 2 + (3 + 4).
- Inverse property: an element combined with its inverse gives the identity: a + (−a) = 0 or a·(1/a) = 1. Example: 5 + (−5) → 0.
If you paste the step (e.g., "3(x+4) became 3x+12" or "x + 5 became 5 + x" or " (a+b)+c became a+(b+c)" or "x + (−x) became 0"), I’ll tell you which property was used.
To help you identify the property, here are the usual forms and examples:
- Distributive property: a(b + c) = ab + ac (or factoring: ab + ac = a(b + c)). Example: 3(x + 5) → 3x + 15.
- Commutative property: order change in addition or multiplication: a + b = b + a or ab = ba. Example: x + 7 → 7 + x.
- Associative property: regrouping in addition or multiplication: (a + b) + c = a + (b + c) or (ab)c = a(bc). Example: (2 + 3) + 4 → 2 + (3 + 4).
- Inverse property: an element combined with its inverse gives the identity: a + (−a) = 0 or a·(1/a) = 1. Example: 5 + (−5) → 0.
If you paste the step (e.g., "3(x+4) became 3x+12" or "x + 5 became 5 + x" or " (a+b)+c became a+(b+c)" or "x + (−x) became 0"), I’ll tell you which property was used.
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