Question

cu explicatii va rog!!!

Answer 1

E(x) = (x + 1)² + 2(x + 1)(x - 2) + (x - 2)²

(x + 1)² = x² + 2x + 1

2(x + 1)(x - 2) = (2x + 2)(x - 2) = 2x² - 2x - 4

(x - 2)² = x² - 4x + 4

Deci E(x) = x² + 2x + 1 + 2x² - 2x - 4 + x² - 4x + 4

= 4x² - 4x + 1 = (2x - 1)² ∀ x ∈ ℝ

Answer 2

Răspuns:

Explicație pas cu pas:

E₍ₓ₎=(x+1)²+2*(x+1)(x+2)+(x-2)²

E₍ₓ₎=x²+2x+1+2*(x²-2x+x-2)+(x²-4x+4)

E₍ₓ₎=x²+2x+1+2*(x²-x-2)+x²-4x+4

E₍ₓ₎=x²+2x+1+2x²-2x-4+x²-4x+4

E₍ₓ₎=4x²-4x+1

E₍ₓ₎=2x²-2*2x*1 +1²

E₍ₓ₎=2x²-4x +1²

E₍ₓ)= (2x-1)² oricare ar fi x ∈R