Website Statistics Factoriser 1 7x242 3x52 x423 4x529x324 4x285 9x224x166 3x6x5 x2x57 4x2814x18x5
résolu

Factoriser :

1. (7-x)^2-4
2. (3x-5)^2 - (x+4)^2
3. 4(x-5)^2-9(x-3)^2
4. 4x^2-8
5. 9x^2-24x+16
6. (3x-6)(x+5) - (x-2)(x-5)
7. 4x^2-81+(4x-18)(x-5)

Répondre :

Aftershock
1. (7-x)²-4
= ((7-x)-2)((7-x)+2)
= (5-x)(9-x)

2. (3x-5)²-(x+4)²
= ((3x-5)-(x+4))((3x-5)+(x+4))
= (2x-9)(4x-1)

3. 4(x-5)²-9(x-3)²
= 4(x²-10x+25)-9(x²-6x+9)
= (4x²-40x+100)-(9x²-54x+81)
= (2x-10)²-(3x-9)²
= ((2x-10)-(3x-9))((2x-10)+(3x-9))
= (-x-1)(5x-19)

4. 4x²-8
= 2(2x²-4)

5. 9x²-24x+16
= (3x-4)²

6. (3x-6)(x+5)-(x-2)(x-5)
= (x-5)[(3x-6)-(x-2)]
= (x-5)(2x-4)

7. 4x²-81+(4x-18)(x-5)
= (2x-9)(2x+9)+(4x-18)(x-5)
= (2x-9)(2x+9)+2(2x-9)(x-5)
= (2x-9)[(2x+9)+2(x-5)]
= (2x-9)(4x-1)

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