×

If a² - 2ab + b² = 36 and a² - 3ab + b² = 22 the ab = ____?

If a² - 2ab + b² = 36 and a² - 3ab + b² = 22 the ab = ____?

Explanation
  • The given equations can be rewritten using identity formulas:
    • a² - 2ab + b² = (a - b)² = 36 → (a - b) = ±6
    • a² - 3ab + b² = 22 → (a - b)² - ab = 22

  • Substituting (a - b)² = 36 in 36 - ab = 22, solving for ab gives: ab=36−22=14