Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((x+3)(x+7)+(3x-1)(x+3)\)
2. \((4y-6)(y-5)+(4y-6)(3y-8)\)
3. \((q+8)(q+1)-(3q+7)(q+8)\)
4. \((a+9)(a-5)+(3a-8)(a+9)\)
5. \((8y+3)(y+2)-(8y+3)(5y+3)\)
6. \((6y+1)^2-(12y+2)\)
7. \((4b+2)(b-3)-(4b+2)(3b-7)\)
8. \((3p-8)(p+6)+(3p-8)(4p+7)\)
9. \((p+8)(p+9)+(2p+5)(p+8)\)
10. \((8s+1)^2+(40s+5)\)
11. \((4y-3)^2-(12y-9)\)
12. \((5p-1)(p+3)-(5p-1)(4p-6)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((x+3)(x+7)+(3x-1)(x+3)\\=(x+3)(x+7+3x-1)\\=(x+3)(4x+6)\)
2. \((4y-6)(y-5)+(4y-6)(3y-8)\\=(4y-6)(y-5+3y-8)\\=(4y-6)(4y-13)\)
3. \((q+8)(q+1)-(3q+7)(q+8)\\=(q+8)(q+1-3q-7)\\=(q+8)(-2q-6)\)
4. \((a+9)(a-5)+(3a-8)(a+9)\\=(a+9)(a-5+3a-8)\\=(a+9)(4a-13)\)
5. \((8y+3)(y+2)-(8y+3)(5y+3)\\=(8y+3)(y+2-5y-3)\\=(8y+3)(-4y-1)\)
6. \((6y+1)^2-(12y+2)\\=(6y+1)(6y+1)-2(6y+1)\\=(6y-1)(6y+1)\)
7. \((4b+2)(b-3)-(4b+2)(3b-7)\\=(4b+2)(b-3-3b+7)\\=(4b+2)(-2b+4)\)
8. \((3p-8)(p+6)+(3p-8)(4p+7)\\=(3p-8)(p+6+4p+7)\\=(3p-8)(5p+13)\)
9. \((p+8)(p+9)+(2p+5)(p+8)\\=(p+8)(p+9+2p+5)\\=(p+8)(3p+14)\)
10. \((8s+1)^2+(40s+5)\\=(8s+1)(8s+1)+5(8s+1)\\=(8s+6)(8s+1)\)
11. \((4y-3)^2-(12y-9)\\=(4y-3)(4y-3)-3(4y-3)\\=(4y-6)(4y-3)\)
12. \((5p-1)(p+3)-(5p-1)(4p-6)\\=(5p-1)(p+3-4p+6)\\=(5p-1)(-3p+9)\)