Question

Simplify the following (10 to 19):
(1) (a + b)2 + (a - b)2
10​

Answer 1

Answer:

(a + b)² + (a -b)2 = a² + 2ab + b² + a² - 2ab + b² = 2a² + 2b² = 2(a² + b²) = 2[(a + b)² - 2ab] = 2(a² + b² - 2ab) = 2a² + 2b² - 4ab