Which step contains an error using the Commutative Property of Addition in verifying 8+x2+17x−x2+4=10+4x2+10x−4x2+2+7x?
8+x² +17x-x²+4=10+4x2+ 10x - 4x² +2+7x?
Step 1:8 +4+x²-x² +17x=10+2+10x - 4x² +7x +4x²
Step 2: 8+4 +17x + x² - x² = 10 +2 +4x² - 4x² + 10x + 7x
Step 3: 12 + 17x + x² = 12-x² + 17x
There is no error in using the Commutative Property of Addition in this equation.
The error occurs in Step 3. The correct step using the Commutative Property of Addition would be:
Step 3: 12 + 17x + x² = 12 + (-x²) + 17x
The error occurs in Step 3 of the solution.
Step 3: 12 + 17x + x² = 12 - x² + 17x
The error is that the positive x² term is being subtracted instead of added. According to the commutative property of addition, the order of terms can be changed, but the actual addition or subtraction operation on the terms should not change. In this case, the x² term should have been added instead of subtracted.
The correct step should be:
Step 3: 12 + 17x + x² = 12 + x² + 17x
By correcting the error, the equation will be balanced and the solution can continue.