Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3y-3)(y+2)+(3y-3)(4y+3)\)
2. \((4y-3)^2+(20y-15)\)
3. \((3b+6)(b+6)-(3b+6)(4b+7)\)
4. \((2y+7)^2-(6y+21)\)
5. \((8p+5)^2+(16p+10)\)
6. \((8p+6)(p-9)-(8p+6)(3p-8)\)
7. \((3b-3)(b+5)-(3b-3)(4b-5)\)
8. \((s-5)(s-7)-(4s+4)(s-5)\)
9. \((q-7)(q-9)+(2q+8)(q-7)\)
10. \((s-2)(s-7)+(2s+8)(s-2)\)
11. \((6p+1)^2+(24p+4)\)
12. \((5b+3)(b+7)-(5b+3)(2b-3)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3y-3)(y+2)+(3y-3)(4y+3)\\=(3y-3)(y+2+4y+3)\\=(3y-3)(5y+5)\)
2. \((4y-3)^2+(20y-15)\\=(4y-3)(4y-3)+5(4y-3)\\=(4y+2)(4y-3)\)
3. \((3b+6)(b+6)-(3b+6)(4b+7)\\=(3b+6)(b+6-4b-7)\\=(3b+6)(-3b-1)\)
4. \((2y+7)^2-(6y+21)\\=(2y+7)(2y+7)-3(2y+7)\\=(2y+4)(2y+7)\)
5. \((8p+5)^2+(16p+10)\\=(8p+5)(8p+5)+2(8p+5)\\=(8p+7)(8p+5)\)
6. \((8p+6)(p-9)-(8p+6)(3p-8)\\=(8p+6)(p-9-3p+8)\\=(8p+6)(-2p-1)\)
7. \((3b-3)(b+5)-(3b-3)(4b-5)\\=(3b-3)(b+5-4b+5)\\=(3b-3)(-3b+10)\)
8. \((s-5)(s-7)-(4s+4)(s-5)\\=(s-5)(s-7-4s-4)\\=(s-5)(-3s-11)\)
9. \((q-7)(q-9)+(2q+8)(q-7)\\=(q-7)(q-9+2q+8)\\=(q-7)(3q-1)\)
10. \((s-2)(s-7)+(2s+8)(s-2)\\=(s-2)(s-7+2s+8)\\=(s-2)(3s+1)\)
11. \((6p+1)^2+(24p+4)\\=(6p+1)(6p+1)+4(6p+1)\\=(6p+5)(6p+1)\)
12. \((5b+3)(b+7)-(5b+3)(2b-3)\\=(5b+3)(b+7-2b+3)\\=(5b+3)(-b+10)\)