Question

Using properties of squares and square roots calculate : 200^ 2 − 198 ^2

Answer 1

200² - 198²

a² - b² = (a+b)(a-b)

(200 + 198)(200-198)

398× 2

796

Answer 2

200²-198²

200²-198²a²-b² = (a+b) (a-b)

200²-198²a²-b² = (a+b) (a-b)(200+198)(200-198)

200²-198²a²-b² = (a+b) (a-b)(200+198)(200-198)398×2

200²-198²a²-b² = (a+b) (a-b)(200+198)(200-198)398×2796