Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6p-2)(p-9)-(6p-2)(5p+4)\)
2. \((3q-8)^2-(15q-40)\)
3. \((8q-1)(q-7)-(8q-1)(5q+6)\)
4. \((9s-8)^2+(18s-16)\)
5. \((8b+3)^2-(24b+9)\)
6. \((4x-7)^2+(20x-35)\)
7. \((7s+3)(s+4)-(7s+3)(3s+2)\)
8. \((5a+8)^2+(20a+32)\)
9. \((7s+7)(s-2)+(7s+7)(2s-4)\)
10. \((p+1)(p-1)-(4p+9)(p+1)\)
11. \((6x+5)^2+(18x+15)\)
12. \((b+1)(b+6)-(4b-2)(b+1)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6p-2)(p-9)-(6p-2)(5p+4)\\=(6p-2)(p-9-5p-4)\\=(6p-2)(-4p-13)\)
2. \((3q-8)^2-(15q-40)\\=(3q-8)(3q-8)-5(3q-8)\\=(3q-13)(3q-8)\)
3. \((8q-1)(q-7)-(8q-1)(5q+6)\\=(8q-1)(q-7-5q-6)\\=(8q-1)(-4q-13)\)
4. \((9s-8)^2+(18s-16)\\=(9s-8)(9s-8)+2(9s-8)\\=(9s-6)(9s-8)\)
5. \((8b+3)^2-(24b+9)\\=(8b+3)(8b+3)-3(8b+3)\\=(8b+0)(8b+3)\)
6. \((4x-7)^2+(20x-35)\\=(4x-7)(4x-7)+5(4x-7)\\=(4x-2)(4x-7)\)
7. \((7s+3)(s+4)-(7s+3)(3s+2)\\=(7s+3)(s+4-3s-2)\\=(7s+3)(-2s+2)\)
8. \((5a+8)^2+(20a+32)\\=(5a+8)(5a+8)+4(5a+8)\\=(5a+12)(5a+8)\)
9. \((7s+7)(s-2)+(7s+7)(2s-4)\\=(7s+7)(s-2+2s-4)\\=(7s+7)(3s-6)\)
10. \((p+1)(p-1)-(4p+9)(p+1)\\=(p+1)(p-1-4p-9)\\=(p+1)(-3p-10)\)
11. \((6x+5)^2+(18x+15)\\=(6x+5)(6x+5)+3(6x+5)\\=(6x+8)(6x+5)\)
12. \((b+1)(b+6)-(4b-2)(b+1)\\=(b+1)(b+6-4b+2)\\=(b+1)(-3b+8)\)