Sagot :
Bonjour !
Question 1
Programme A :
- -2
- -2 + 1 = -1
- (-1)² = 1
Programme B :
- -2
- (-2)² = 4
- 4 + 2 x (-2) = 4 - 4 = 0
Question 2
Programme A :
- 5
- 5 + 1 = 6
- 6² = 36
Programme B :
- 5
- 5² = 25
- 25 + 2 x 5 = 35
Question 3
Programme A :
- [tex]x[/tex]
- [tex]x+1[/tex]
- [tex](x+1)^2[/tex]
Programme B :
- [tex]x[/tex]
- [tex]x^2[/tex]
- [tex]x^2+2x[/tex]
Question 4
[tex](x+1)^2=(x+1)(x+1)\\(x+1)^2=x \times x + x\times 1 + 1 \times x + 1 \times 1\\ (x+1)^2=x^2+x+x+1\\(x+1)^2=x^2+2x+1[/tex]
Question 5
Le programme A donne x² + 2x + 1 et le programme B donne x² + 2x. On constate que A vaut B augmenté de 1. Ainsi, A = B + 1.