1 – 2ab – (a 2 + b 2 ) =?

Question

1 &#x2013; 2ab &#x2013; (a 2 + b 2 ) =?

Philoid · Accepted Answer

1 – 2ab – (a² + b²) = 1 – 2ab – a² – b²

= 1 – (2ab + a² + b²)

= 1 – (a + b)²

= (1 – a – b)(1 + a + b) a² – b² = (a – b)(a + b)