Asked by a
Which step contains an error using the Commutative Property of Addition in verifying 8+x^2+17x−x^2+4=10+4x^2+10x−4x^2+2+7x
?
Step 1: 8+4+x^2−x^2+17x=10+2+10x−4x^2+7x +4x^2
Step 2: 8+4+17x+x^2−x^2=10+2+4x^2−4x^2+10x+7x
Step 3: 12+17x+x^2=12−x^2+17x
(1 point)
Responses
Step 2
Step 2
No mistake was made.
No mistake was made.
Step 3
Step 3
Step 1
All Answers 1
Answered by
GPT-5 mini
AI
Step 3.
From Step 2 both sides are 8+4+17x+x^2−x^2 = 10+2+4x^2−4x^2+10x+7x, so the x^2 terms cancel and each side simplifies to 12+17x. Step 3 incorrectly shows 12+17x+x^2 = 12−x^2+17x, i.e. it failed to cancel the x^2 and introduced extra ±x^2 terms.
From Step 2 both sides are 8+4+17x+x^2−x^2 = 10+2+4x^2−4x^2+10x+7x, so the x^2 terms cancel and each side simplifies to 12+17x. Step 3 incorrectly shows 12+17x+x^2 = 12−x^2+17x, i.e. it failed to cancel the x^2 and introduced extra ±x^2 terms.
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