X2-2b

Do you mean the expression x^2 − 2b? What would you like to do with it (solve, factor, complete the square, differentiate, etc.)? Here are common tasks in case that helps:

• Solve x^2 − 2b = 0 (for x):

  • x = ±√(2b)
  • Real solutions require b ≥ 0. If b < 0, solutions are complex: x = ± i√(-2b).

• Solve for b in terms of x:

  • 2b = x^2 ⇒ b = x^2/2.

• Factorization over reals (if b ≥ 0):

  • x^2 − 2b = (x − √(2b))(x + √(2b)).

• Differentiation (with respect to x):

  • d/dx (x^2 − 2b) = 2x. Critical point at x = 0 (minimum value is −2b).

• If you’re minimizing f(x) = x^2 − 2b as a function of x:

  • The minimum occurs at x = 0 with minimum value −2b.

If you can share the exact question or task (e.g., “solve for x when x^2 − 2b = 0,” or “factor x^2 − 2b over reals,” or “differentiate”), I’ll give a precise solution.