Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((4s-7)^2+(8s-14)\)
2. \((8p-5)(p+9)+(8p-5)(5p+8)\)
3. \((3x-9)(x+3)+(3x-9)(4x+4)\)
4. \((q+4)^2+(3q+12)\)
5. \((3p-8)(p+8)+(3p-8)(4p+7)\)
6. \((7y+4)^2+(28y+16)\)
7. \((2x-8)(x-7)+(2x-8)(5x+8)\)
8. \((5y-1)(y-1)-(5y-1)(4y-7)\)
9. \((9y+8)^2-(18y+16)\)
10. \((s-8)(s+2)-(3s-3)(s-8)\)
11. \((x-9)^2-(3x-27)\)
12. \((6s-9)(s-1)-(6s-9)(5s-4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((4s-7)^2+(8s-14)\\=(4s-7)(4s-7)+2(4s-7)\\=(4s-5)(4s-7)\)
2. \((8p-5)(p+9)+(8p-5)(5p+8)\\=(8p-5)(p+9+5p+8)\\=(8p-5)(6p+17)\)
3. \((3x-9)(x+3)+(3x-9)(4x+4)\\=(3x-9)(x+3+4x+4)\\=(3x-9)(5x+7)\)
4. \((q+4)^2+(3q+12)\\=(q+4)(q+4)+3(q+4)\\=(q+7)(q+4)\)
5. \((3p-8)(p+8)+(3p-8)(4p+7)\\=(3p-8)(p+8+4p+7)\\=(3p-8)(5p+15)\)
6. \((7y+4)^2+(28y+16)\\=(7y+4)(7y+4)+4(7y+4)\\=(7y+8)(7y+4)\)
7. \((2x-8)(x-7)+(2x-8)(5x+8)\\=(2x-8)(x-7+5x+8)\\=(2x-8)(6x+1)\)
8. \((5y-1)(y-1)-(5y-1)(4y-7)\\=(5y-1)(y-1-4y+7)\\=(5y-1)(-3y+6)\)
9. \((9y+8)^2-(18y+16)\\=(9y+8)(9y+8)-2(9y+8)\\=(9y+6)(9y+8)\)
10. \((s-8)(s+2)-(3s-3)(s-8)\\=(s-8)(s+2-3s+3)\\=(s-8)(-2s+5)\)
11. \((x-9)^2-(3x-27)\\=(x-9)(x-9)-3(x-9)\\=(x-12)(x-9)\)
12. \((6s-9)(s-1)-(6s-9)(5s-4)\\=(6s-9)(s-1-5s+4)\\=(6s-9)(-4s+3)\)