Problem 119 of 7
Determine whether the proposed equation is an identity: (x+1)^2=x^2+1.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
test expansion or counterexample.
Hidden until you reveal it.
An identity must be true for all variable values.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Expand or simplify both sides.
2. Compare whether both sides match for all values.
3. If not, give a counterexample or describe limited solutions.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Treating an equation with limited solutions as an identity.