Sagot :
Bonjour,
.
Recopier et compléter les égalités.
.
1)
(x + 4) * (x + 3) = x*x + x*3 + 4*x + 4*3
= x² + 3x + 4x + 12
= x² + 7x + 12
.
2)
(x - 5) * (x + 6) = x*x + x*6 + (-5)*x + (-5)*6
= x² + 6x - 5x - 30
= x² + x - 30
.
3)
(x - 7) * (x - 2) = x*x + x*(-2) + (-7)*x + (-7)*(-2)
= x² - 2x - 7x + 14
= x² - 9x + 14
.
4)
(2x + 3) * (3x + 1) = 2x*3x + 2x*1 + 3*3x + 3*1
= 6x² + 2x + 9x + 3
= 6x² + 11x + 3
.
* = multiplication
.
Un petit rappel sur la double distributivité :
[tex](a + b)(c + d) \\ = a \times c + a \times d + b \times c + b \times d[/tex]
.
.
Bonne journée.
Bonjour,
1)
= x*x +x*3+4*x +4*3
= x² +3x +4x +12
= x² +7x +12
2)
= x*x +x*6 + (-5) * x +(-5) * 6
= x² +6x -5x -30
= x² +x -30
3)
= x*x +x * (-2) +(-7) * x +(-7)*(-2 )
= x² -2x -7x +14
= x² -9x +14
4)
2x* 3x +2x*1 +3*3x + 3*1
= 6x² +2x +9x +3
= 6x² +11x +3