Chapter 10 - Systems of Equations and Inequalities - Section 10.5 Partial Fraction Decomposition - 10.5 Assess Your Understanding - Page 787: 1

$\text{True}$

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.