Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((9b+1)^2+(18b+2)\)
2. \((9q-4)^2-(45q-20)\)
3. \((p-9)(p-2)-(2p+8)(p-9)\)
4. \((5x+2)(x-3)-(5x+2)(2x-4)\)
5. \((2b-3)(b+6)-(2b-3)(5b+7)\)
6. \((6y+1)^2-(30y+5)\)
7. \((5y-8)(y+4)+(5y-8)(3y-2)\)
8. \((q-5)(q+7)-(3q-2)(q-5)\)
9. \((q-1)(q-2)-(2q-8)(q-1)\)
10. \((3p-2)(p+9)-(3p-2)(2p+8)\)
11. \((y+3)(y+2)-(3y+7)(y+3)\)
12. \((y+1)(y+7)+(3y+8)(y+1)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((9b+1)^2+(18b+2)\\=(9b+1)(9b+1)+2(9b+1)\\=(9b+3)(9b+1)\)
2. \((9q-4)^2-(45q-20)\\=(9q-4)(9q-4)-5(9q-4)\\=(9q-9)(9q-4)\)
3. \((p-9)(p-2)-(2p+8)(p-9)\\=(p-9)(p-2-2p-8)\\=(p-9)(-p-10)\)
4. \((5x+2)(x-3)-(5x+2)(2x-4)\\=(5x+2)(x-3-2x+4)\\=(5x+2)(-x+1)\)
5. \((2b-3)(b+6)-(2b-3)(5b+7)\\=(2b-3)(b+6-5b-7)\\=(2b-3)(-4b-1)\)
6. \((6y+1)^2-(30y+5)\\=(6y+1)(6y+1)-5(6y+1)\\=(6y-4)(6y+1)\)
7. \((5y-8)(y+4)+(5y-8)(3y-2)\\=(5y-8)(y+4+3y-2)\\=(5y-8)(4y+2)\)
8. \((q-5)(q+7)-(3q-2)(q-5)\\=(q-5)(q+7-3q+2)\\=(q-5)(-2q+9)\)
9. \((q-1)(q-2)-(2q-8)(q-1)\\=(q-1)(q-2-2q+8)\\=(q-1)(-q+6)\)
10. \((3p-2)(p+9)-(3p-2)(2p+8)\\=(3p-2)(p+9-2p-8)\\=(3p-2)(-p+1)\)
11. \((y+3)(y+2)-(3y+7)(y+3)\\=(y+3)(y+2-3y-7)\\=(y+3)(-2y-5)\)
12. \((y+1)(y+7)+(3y+8)(y+1)\\=(y+1)(y+7+3y+8)\\=(y+1)(4y+15)\)