Respuesta :

Answer:

[tex] \huge \boxed{ \boxed{(a - {b)}^{2} } }[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • algebra

tips and formulas:

  • algebraic identity:(a-b)²=(a+b)²-4ab

let's solve:

therefore

using the identity our answer is (a-b)²

let's prove it

  1. (a-b)²:a²-2ab+b²
  2. rewrite -2ab as 2ab-4ab:a²+b²+2ab-4ab
  3. use (a+b)²=a²+2ab+c²:(a+b)²-4ab

therefore

we have also proven that