Question

4) Show that (a+b)² + (a-b)² = 2(a²+b²)​

Answer 1

Answer:

See the picture above...

Answer 2

Answer:

(a+b)² + (a-b)²

(a²+ b²+2ab) + (a²+ b² - 2ab)

a²+b²+2ab+a²+b²-2ab

a²+a²+b²+b²+2ab-2ab

2a²+2b²

2(a²+b²)

(a+b)²+(a-b)²=2(a²+b²)

proved