Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3y-8)(y-5)+(3y-8)(2y+7)\)
2. \((3b+2)(b+4)+(3b+2)(4b+8)\)
3. \((3s-6)(s-6)-(3s-6)(4s-7)\)
4. \((a+7)(a+4)+(2a-8)(a+7)\)
5. \((3y-8)(y+1)+(3y-8)(2y+9)\)
6. \((6a+1)^2-(12a+2)\)
7. \((2b+3)^2-(10b+15)\)
8. \((a+5)^2-(3a+15)\)
9. \((3p-2)(p+3)+(3p-2)(5p+8)\)
10. \((x-3)(x-5)-(5x+2)(x-3)\)
11. \((9q+4)^2+(36q+16)\)
12. \((x+3)(x+4)+(5x+2)(x+3)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3y-8)(y-5)+(3y-8)(2y+7)\\=(3y-8)(y-5+2y+7)\\=(3y-8)(3y+2)\)
2. \((3b+2)(b+4)+(3b+2)(4b+8)\\=(3b+2)(b+4+4b+8)\\=(3b+2)(5b+12)\)
3. \((3s-6)(s-6)-(3s-6)(4s-7)\\=(3s-6)(s-6-4s+7)\\=(3s-6)(-3s+1)\)
4. \((a+7)(a+4)+(2a-8)(a+7)\\=(a+7)(a+4+2a-8)\\=(a+7)(3a-4)\)
5. \((3y-8)(y+1)+(3y-8)(2y+9)\\=(3y-8)(y+1+2y+9)\\=(3y-8)(3y+10)\)
6. \((6a+1)^2-(12a+2)\\=(6a+1)(6a+1)-2(6a+1)\\=(6a-1)(6a+1)\)
7. \((2b+3)^2-(10b+15)\\=(2b+3)(2b+3)-5(2b+3)\\=(2b-2)(2b+3)\)
8. \((a+5)^2-(3a+15)\\=(a+5)(a+5)-3(a+5)\\=(a+2)(a+5)\)
9. \((3p-2)(p+3)+(3p-2)(5p+8)\\=(3p-2)(p+3+5p+8)\\=(3p-2)(6p+11)\)
10. \((x-3)(x-5)-(5x+2)(x-3)\\=(x-3)(x-5-5x-2)\\=(x-3)(-4x-7)\)
11. \((9q+4)^2+(36q+16)\\=(9q+4)(9q+4)+4(9q+4)\\=(9q+8)(9q+4)\)
12. \((x+3)(x+4)+(5x+2)(x+3)\\=(x+3)(x+4+5x+2)\\=(x+3)(6x+6)\)