Răspuns :
(x-2)²+(x-3)²-(x+1)*(x-1)=
stim ca (a+b)²=a²+2ab+b²
si ca (a+b)(a-b)=a²-b²
x²-4x+4+x²-6x+9-x²+1=x²-10x+14
stim ca (a+b)²=a²+2ab+b²
si ca (a+b)(a-b)=a²-b²
x²-4x+4+x²-6x+9-x²+1=x²-10x+14
= x^2 - 4x + 4 + x^2 - 6x + 9 - x^2 +1 =
= 14 + x^2 - 10x
(x-2)^2 = x^2 - 4x + 4
(x-3)^2 = x^2 - 6x + 9
(x+1)(x-1) = x^2 - 1^2
= 14 + x^2 - 10x
(x-2)^2 = x^2 - 4x + 4
(x-3)^2 = x^2 - 6x + 9
(x+1)(x-1) = x^2 - 1^2