Bonjour,
voici les réponses avec les étapes :
A = (x+1)²+(x-3)²
= (x² + 2x + 1) + (x² - 6x + 9)
= 2x² - 4x + 10
B = (3-x)²+(x+5)²
= (x² - 6x + 9) + (x² + 10x + 25)
= 2x² + 4x + 34
C = (x-2)²+(x+4)(x-4)
= (x² - 4x + 4) + (x² - 16)
= 2x² - 4x - 12
D = (x+1)(x-1) +(x+4)²
= (x² - 1) + (x² + 8x + 16)
= 2x² + 8x + 15
E = (x-5)²+(2x+7)(2x-7)
= (x² - 10x + 25) + (4x² - 49)
= 5x² - 10x - 24
F = (2x+1)²-(x+3)²
= (4x² + 4x + 1) - (x² + 6x + 9)
= 3x² - 2x - 8
G = (2x+3)²-(x-7)(x+7)
= (4x² + 12x + 9) - (x² - 49)
= 3x² + 12x + 58
H = (x+2)(x-2) -(x-3)²
= (x² - 4) - (x² - 6x + 9)
= -4x - 5
I = (x-5)²-(2x-7)(x-5)
= (x² - 10x + 25) - (2x² - 35x + 35)
= -x² + 25x - 10
J = (3x+1) (x-2) -(2x-3) ²
= (3x² - 6x + x - 2) - (4x² - 12x + 9)
= -x² + 5x - 11
