Question

For all a and b, what is the sum of (a-b)² and (a+b)²​

Answer 1

Explanation:

Expand both classic quadratics and combine like terms to find the sum:

(a−b)2+(a+b)2

Answer 2

2a² + 2b²

Explanation:

(a - b)² + (a + b)² ← expand both factors using FOIL

= a² - 2ab + b² + a² + 2ab + b² ← collect like terms

= 2a² + 2b²