Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5y+1)(y-5)-(5y+1)(4y+7)\)
2. \((x-3)(x-3)-(2x-9)(x-3)\)
3. \((b+3)(b-4)+(2b-7)(b+3)\)
4. \((3a-3)(a+8)-(3a-3)(4a+4)\)
5. \((8p-7)^2+(16p-14)\)
6. \((3s+5)(s-7)+(3s+5)(2s+6)\)
7. \((q-6)(q+6)+(4q+7)(q-6)\)
8. \((3q+6)(q-7)-(3q+6)(4q+3)\)
9. \((p-5)(p+2)-(5p+9)(p-5)\)
10. \((8s+7)^2-(24s+21)\)
11. \((x-2)(x-4)+(5x-5)(x-2)\)
12. \((8s+3)^2-(40s+15)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5y+1)(y-5)-(5y+1)(4y+7)\\=(5y+1)(y-5-4y-7)\\=(5y+1)(-3y-12)\)
2. \((x-3)(x-3)-(2x-9)(x-3)\\=(x-3)(x-3-2x+9)\\=(x-3)(-x+6)\)
3. \((b+3)(b-4)+(2b-7)(b+3)\\=(b+3)(b-4+2b-7)\\=(b+3)(3b-11)\)
4. \((3a-3)(a+8)-(3a-3)(4a+4)\\=(3a-3)(a+8-4a-4)\\=(3a-3)(-3a+4)\)
5. \((8p-7)^2+(16p-14)\\=(8p-7)(8p-7)+2(8p-7)\\=(8p-5)(8p-7)\)
6. \((3s+5)(s-7)+(3s+5)(2s+6)\\=(3s+5)(s-7+2s+6)\\=(3s+5)(3s-1)\)
7. \((q-6)(q+6)+(4q+7)(q-6)\\=(q-6)(q+6+4q+7)\\=(q-6)(5q+13)\)
8. \((3q+6)(q-7)-(3q+6)(4q+3)\\=(3q+6)(q-7-4q-3)\\=(3q+6)(-3q-10)\)
9. \((p-5)(p+2)-(5p+9)(p-5)\\=(p-5)(p+2-5p-9)\\=(p-5)(-4p-7)\)
10. \((8s+7)^2-(24s+21)\\=(8s+7)(8s+7)-3(8s+7)\\=(8s+4)(8s+7)\)
11. \((x-2)(x-4)+(5x-5)(x-2)\\=(x-2)(x-4+5x-5)\\=(x-2)(6x-9)\)
12. \((8s+3)^2-(40s+15)\\=(8s+3)(8s+3)-5(8s+3)\\=(8s-2)(8s+3)\)