Question

Observe the following

(1/2)² + (1 (1/2)²) = 2(1/2), 2 = 2 x 1²

Explain the common principle in these using algebra?

Answer 1

(x – \(\frac{1}{2}\))² + (x + \(\frac{1}{2}\))²

x² – x + \(\frac{1}{4}\) + x² + x + \(\frac{1}{4}\)

2x² + \(\frac{1}{2}\)