Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3b+4)^2-(15b+20)\)
2. \((9a+5)(a+5)-(9a+5)(2a-9)\)
3. \((7s-6)(s-1)+(7s-6)(4s-1)\)
4. \((5x+2)^2+(10x+4)\)
5. \((8y-5)^2+(24y-15)\)
6. \((a+2)(a+4)+(3a-6)(a+2)\)
7. \((7q+6)(q+3)+(7q+6)(5q-7)\)
8. \((5b+3)(b+7)+(5b+3)(4b-1)\)
9. \((4x+1)^2+(12x+3)\)
10. \((5q+9)^2+(15q+27)\)
11. \((x+9)(x-9)+(5x-2)(x+9)\)
12. \((q+1)(q-1)+(2q-6)(q+1)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3b+4)^2-(15b+20)\\=(3b+4)(3b+4)-5(3b+4)\\=(3b-1)(3b+4)\)
2. \((9a+5)(a+5)-(9a+5)(2a-9)\\=(9a+5)(a+5-2a+9)\\=(9a+5)(-a+14)\)
3. \((7s-6)(s-1)+(7s-6)(4s-1)\\=(7s-6)(s-1+4s-1)\\=(7s-6)(5s-2)\)
4. \((5x+2)^2+(10x+4)\\=(5x+2)(5x+2)+2(5x+2)\\=(5x+4)(5x+2)\)
5. \((8y-5)^2+(24y-15)\\=(8y-5)(8y-5)+3(8y-5)\\=(8y-2)(8y-5)\)
6. \((a+2)(a+4)+(3a-6)(a+2)\\=(a+2)(a+4+3a-6)\\=(a+2)(4a-2)\)
7. \((7q+6)(q+3)+(7q+6)(5q-7)\\=(7q+6)(q+3+5q-7)\\=(7q+6)(6q-4)\)
8. \((5b+3)(b+7)+(5b+3)(4b-1)\\=(5b+3)(b+7+4b-1)\\=(5b+3)(5b+6)\)
9. \((4x+1)^2+(12x+3)\\=(4x+1)(4x+1)+3(4x+1)\\=(4x+4)(4x+1)\)
10. \((5q+9)^2+(15q+27)\\=(5q+9)(5q+9)+3(5q+9)\\=(5q+12)(5q+9)\)
11. \((x+9)(x-9)+(5x-2)(x+9)\\=(x+9)(x-9+5x-2)\\=(x+9)(6x-11)\)
12. \((q+1)(q-1)+(2q-6)(q+1)\\=(q+1)(q-1+2q-6)\\=(q+1)(3q-7)\)