## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$\text{True}$
We know that an equation can be satisfied for every value of the variable when both sides of that equation are defined is called an identity. $(x-1)^{2}-1=x(x-2)\\ x^{2}-2x+1-1=x^{2}-2x\\x^2-2x=x^2-2x$ We see that the equations are equivalent . So, this equation is true for every value of $x$. Thus, the given statement is true.