Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((4a-3)^2-(12a-9)\)
2. \((9p-2)^2-(45p-10)\)
3. \((8q+7)^2+(16q+14)\)
4. \((y-8)(y+2)+(3y-1)(y-8)\)
5. \((2y+3)(y+6)-(2y+3)(5y+9)\)
6. \((x-3)(x-8)-(5x-5)(x-3)\)
7. \((a+9)(a+6)-(2a+6)(a+9)\)
8. \((a+3)(a-4)-(4a-2)(a+3)\)
9. \((2s+5)^2-(8s+20)\)
10. \((3q+1)^2+(6q+2)\)
11. \((s-5)^2-(5s-25)\)
12. \((s+9)(s-4)+(5s-1)(s+9)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((4a-3)^2-(12a-9)\\=(4a-3)(4a-3)-3(4a-3)\\=(4a-6)(4a-3)\)
2. \((9p-2)^2-(45p-10)\\=(9p-2)(9p-2)-5(9p-2)\\=(9p-7)(9p-2)\)
3. \((8q+7)^2+(16q+14)\\=(8q+7)(8q+7)+2(8q+7)\\=(8q+9)(8q+7)\)
4. \((y-8)(y+2)+(3y-1)(y-8)\\=(y-8)(y+2+3y-1)\\=(y-8)(4y+1)\)
5. \((2y+3)(y+6)-(2y+3)(5y+9)\\=(2y+3)(y+6-5y-9)\\=(2y+3)(-4y-3)\)
6. \((x-3)(x-8)-(5x-5)(x-3)\\=(x-3)(x-8-5x+5)\\=(x-3)(-4x-3)\)
7. \((a+9)(a+6)-(2a+6)(a+9)\\=(a+9)(a+6-2a-6)\\=(a+9)(-a+0)\)
8. \((a+3)(a-4)-(4a-2)(a+3)\\=(a+3)(a-4-4a+2)\\=(a+3)(-3a-2)\)
9. \((2s+5)^2-(8s+20)\\=(2s+5)(2s+5)-4(2s+5)\\=(2s+1)(2s+5)\)
10. \((3q+1)^2+(6q+2)\\=(3q+1)(3q+1)+2(3q+1)\\=(3q+3)(3q+1)\)
11. \((s-5)^2-(5s-25)\\=(s-5)(s-5)-5(s-5)\\=(s-10)(s-5)\)
12. \((s+9)(s-4)+(5s-1)(s+9)\\=(s+9)(s-4+5s-1)\\=(s+9)(6s-5)\)