Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((a-4)(a-6)-(2a+1)(a-4)\)
2. \((3s-7)(s+5)-(3s-7)(5s-2)\)
3. \((4s+1)(s-9)-(4s+1)(3s+6)\)
4. \((7y-9)^2+(35y-45)\)
5. \((2q-5)(q-1)-(2q-5)(5q+6)\)
6. \((5q-2)^2-(15q-6)\)
7. \((3s-2)(s-7)+(3s-2)(4s-1)\)
8. \((5s+8)(s+7)-(5s+8)(2s+8)\)
9. \((6s-5)^2-(12s-10)\)
10. \((y+3)(y+5)+(5y-5)(y+3)\)
11. \((8y+7)^2-(16y+14)\)
12. \((2x-2)(x+4)-(2x-2)(3x+9)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((a-4)(a-6)-(2a+1)(a-4)\\=(a-4)(a-6-2a-1)\\=(a-4)(-a-7)\)
2. \((3s-7)(s+5)-(3s-7)(5s-2)\\=(3s-7)(s+5-5s+2)\\=(3s-7)(-4s+7)\)
3. \((4s+1)(s-9)-(4s+1)(3s+6)\\=(4s+1)(s-9-3s-6)\\=(4s+1)(-2s-15)\)
4. \((7y-9)^2+(35y-45)\\=(7y-9)(7y-9)+5(7y-9)\\=(7y-4)(7y-9)\)
5. \((2q-5)(q-1)-(2q-5)(5q+6)\\=(2q-5)(q-1-5q-6)\\=(2q-5)(-4q-7)\)
6. \((5q-2)^2-(15q-6)\\=(5q-2)(5q-2)-3(5q-2)\\=(5q-5)(5q-2)\)
7. \((3s-2)(s-7)+(3s-2)(4s-1)\\=(3s-2)(s-7+4s-1)\\=(3s-2)(5s-8)\)
8. \((5s+8)(s+7)-(5s+8)(2s+8)\\=(5s+8)(s+7-2s-8)\\=(5s+8)(-s-1)\)
9. \((6s-5)^2-(12s-10)\\=(6s-5)(6s-5)-2(6s-5)\\=(6s-7)(6s-5)\)
10. \((y+3)(y+5)+(5y-5)(y+3)\\=(y+3)(y+5+5y-5)\\=(y+3)(6y+0)\)
11. \((8y+7)^2-(16y+14)\\=(8y+7)(8y+7)-2(8y+7)\\=(8y+5)(8y+7)\)
12. \((2x-2)(x+4)-(2x-2)(3x+9)\\=(2x-2)(x+4-3x-9)\\=(2x-2)(-2x-5)\)