Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3a-5)^2+(9a-15)\\=(3a-5)(3a-5)+3(3a-5)\\=(3a-2)(3a-5)\)
2. \((a+4)(a+3)+(4a-9)(a+4)\\=(a+4)(a+3+4a-9)\\=(a+4)(5a-6)\)
3. \((p-8)(p-7)+(4p+1)(p-8)\\=(p-8)(p-7+4p+1)\\=(p-8)(5p-6)\)
4. \((7b-7)(b-4)+(7b-7)(2b-4)\\=(7b-7)(b-4+2b-4)\\=(7b-7)(3b-8)\)
5. \((8s-9)(s+1)+(8s-9)(5s+3)\\=(8s-9)(s+1+5s+3)\\=(8s-9)(6s+4)\)
6. \((5y-2)(y+3)-(5y-2)(2y-9)\\=(5y-2)(y+3-2y+9)\\=(5y-2)(-y+12)\)
7. \((6x+1)^2-(12x+2)\\=(6x+1)(6x+1)-2(6x+1)\\=(6x-1)(6x+1)\)
8. \((4y-3)(y-8)+(4y-3)(3y-9)\\=(4y-3)(y-8+3y-9)\\=(4y-3)(4y-17)\)
9. \((6p-2)(p+7)-(6p-2)(5p-8)\\=(6p-2)(p+7-5p+8)\\=(6p-2)(-4p+15)\)
10. \((y+5)(y+4)-(5y+3)(y+5)\\=(y+5)(y+4-5y-3)\\=(y+5)(-4y+1)\)
11. \((4p-9)(p+5)-(4p-9)(3p+2)\\=(4p-9)(p+5-3p-2)\\=(4p-9)(-2p+3)\)
12. \((7q+1)^2-(21q+3)\\=(7q+1)(7q+1)-3(7q+1)\\=(7q-2)(7q+1)\)