Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((p-5)(p+4)-(5p+2)(p-5)\\=(p-5)(p+4-5p-2)\\=(p-5)(-4p+2)\)
2. \((3x+4)(x+5)+(3x+4)(5x+1)\\=(3x+4)(x+5+5x+1)\\=(3x+4)(6x+6)\)
3. \((3p+4)(p-5)-(3p+4)(2p-3)\\=(3p+4)(p-5-2p+3)\\=(3p+4)(-p-2)\)
4. \((3p+1)^2+(9p+3)\\=(3p+1)(3p+1)+3(3p+1)\\=(3p+4)(3p+1)\)
5. \((5p-7)(p-2)+(5p-7)(4p-7)\\=(5p-7)(p-2+4p-7)\\=(5p-7)(5p-9)\)
6. \((x+4)(x-6)-(4x+7)(x+4)\\=(x+4)(x-6-4x-7)\\=(x+4)(-3x-13)\)
7. \((5s+2)(s-7)+(5s+2)(2s-9)\\=(5s+2)(s-7+2s-9)\\=(5s+2)(3s-16)\)
8. \((s-8)(s-3)-(3s+4)(s-8)\\=(s-8)(s-3-3s-4)\\=(s-8)(-2s-7)\)
9. \((5b-9)(b-3)-(5b-9)(2b+3)\\=(5b-9)(b-3-2b-3)\\=(5b-9)(-b-6)\)
10. \((b+8)(b-1)+(2b+7)(b+8)\\=(b+8)(b-1+2b+7)\\=(b+8)(3b+6)\)
11. \((b+2)^2+(2b+4)\\=(b+2)(b+2)+2(b+2)\\=(b+4)(b+2)\)
12. \((8s+7)(s-4)+(8s+7)(3s+8)\\=(8s+7)(s-4+3s+8)\\=(8s+7)(4s+4)\)