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Sagot :

TEAMCE

Bonjour,

.

Recopier et compléter les égalités.

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1)

(x + 4) * (x + 3) = x*x + x*3 + 4*x + 4*3

= x² + 3x + 4x + 12

= x² + 7x + 12

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2)

(x - 5) * (x + 6) = x*x + x*6 + (-5)*x + (-5)*6

= x² + 6x - 5x - 30

= x² + x - 30

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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

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* = multiplication

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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

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