Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5y+7)^2+(10y+14)\)
2. \((p-5)(p-6)+(4p+3)(p-5)\)
3. \((2y+3)(y+6)+(2y+3)(3y-8)\)
4. \((8b+5)^2+(16b+10)\)
5. \((6a+1)^2+(30a+5)\)
6. \((5s-2)(s-9)+(5s-2)(3s-5)\)
7. \((9p-4)^2+(18p-8)\)
8. \((3y+7)^2+(9y+21)\)
9. \((3b-6)(b-9)-(3b-6)(4b+9)\)
10. \((5y+4)(y-9)-(5y+4)(2y-8)\)
11. \((y-1)(y+6)+(2y-3)(y-1)\)
12. \((5x+3)^2+(25x+15)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5y+7)^2+(10y+14)\\=(5y+7)(5y+7)+2(5y+7)\\=(5y+9)(5y+7)\)
2. \((p-5)(p-6)+(4p+3)(p-5)\\=(p-5)(p-6+4p+3)\\=(p-5)(5p-3)\)
3. \((2y+3)(y+6)+(2y+3)(3y-8)\\=(2y+3)(y+6+3y-8)\\=(2y+3)(4y-2)\)
4. \((8b+5)^2+(16b+10)\\=(8b+5)(8b+5)+2(8b+5)\\=(8b+7)(8b+5)\)
5. \((6a+1)^2+(30a+5)\\=(6a+1)(6a+1)+5(6a+1)\\=(6a+6)(6a+1)\)
6. \((5s-2)(s-9)+(5s-2)(3s-5)\\=(5s-2)(s-9+3s-5)\\=(5s-2)(4s-14)\)
7. \((9p-4)^2+(18p-8)\\=(9p-4)(9p-4)+2(9p-4)\\=(9p-2)(9p-4)\)
8. \((3y+7)^2+(9y+21)\\=(3y+7)(3y+7)+3(3y+7)\\=(3y+10)(3y+7)\)
9. \((3b-6)(b-9)-(3b-6)(4b+9)\\=(3b-6)(b-9-4b-9)\\=(3b-6)(-3b-18)\)
10. \((5y+4)(y-9)-(5y+4)(2y-8)\\=(5y+4)(y-9-2y+8)\\=(5y+4)(-y-1)\)
11. \((y-1)(y+6)+(2y-3)(y-1)\\=(y-1)(y+6+2y-3)\\=(y-1)(3y+3)\)
12. \((5x+3)^2+(25x+15)\\=(5x+3)(5x+3)+5(5x+3)\\=(5x+8)(5x+3)\)