Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((2p+5)^2+(8p+20)\)
2. \((8x-5)^2+(16x-10)\)
3. \((7q-3)(q+9)+(7q-3)(2q-9)\)
4. \((3q+8)^2+(15q+40)\)
5. \((5s+6)^2+(25s+30)\)
6. \((q+9)(q-6)+(4q-7)(q+9)\)
7. \((7q+7)(q-9)+(7q+7)(3q-9)\)
8. \((4q-2)(q-6)+(4q-2)(3q-5)\)
9. \((5p+9)(p-8)-(5p+9)(2p+8)\)
10. \((8a-2)(a-7)-(8a-2)(5a+1)\)
11. \((q+5)(q+7)+(5q+2)(q+5)\)
12. \((7p+4)(p+2)-(7p+4)(3p+3)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((2p+5)^2+(8p+20)\\=(2p+5)(2p+5)+4(2p+5)\\=(2p+9)(2p+5)\)
2. \((8x-5)^2+(16x-10)\\=(8x-5)(8x-5)+2(8x-5)\\=(8x-3)(8x-5)\)
3. \((7q-3)(q+9)+(7q-3)(2q-9)\\=(7q-3)(q+9+2q-9)\\=(7q-3)(3q+0)\)
4. \((3q+8)^2+(15q+40)\\=(3q+8)(3q+8)+5(3q+8)\\=(3q+13)(3q+8)\)
5. \((5s+6)^2+(25s+30)\\=(5s+6)(5s+6)+5(5s+6)\\=(5s+11)(5s+6)\)
6. \((q+9)(q-6)+(4q-7)(q+9)\\=(q+9)(q-6+4q-7)\\=(q+9)(5q-13)\)
7. \((7q+7)(q-9)+(7q+7)(3q-9)\\=(7q+7)(q-9+3q-9)\\=(7q+7)(4q-18)\)
8. \((4q-2)(q-6)+(4q-2)(3q-5)\\=(4q-2)(q-6+3q-5)\\=(4q-2)(4q-11)\)
9. \((5p+9)(p-8)-(5p+9)(2p+8)\\=(5p+9)(p-8-2p-8)\\=(5p+9)(-p-16)\)
10. \((8a-2)(a-7)-(8a-2)(5a+1)\\=(8a-2)(a-7-5a-1)\\=(8a-2)(-4a-8)\)
11. \((q+5)(q+7)+(5q+2)(q+5)\\=(q+5)(q+7+5q+2)\\=(q+5)(6q+9)\)
12. \((7p+4)(p+2)-(7p+4)(3p+3)\\=(7p+4)(p+2-3p-3)\\=(7p+4)(-2p-1)\)