Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3x-8)^2-(6x-16)\)
2. \((y-8)(y-1)+(5y+2)(y-8)\)
3. \((3p-1)(p-4)+(3p-1)(4p+3)\)
4. \((3p+5)(p-6)+(3p+5)(2p+4)\)
5. \((y+1)(y-3)-(5y-8)(y+1)\)
6. \((x-1)(x-8)+(5x+6)(x-1)\)
7. \((7y-3)^2-(14y-6)\)
8. \((7y+7)(y+6)+(7y+7)(2y+7)\)
9. \((y-5)(y-2)-(2y+9)(y-5)\)
10. \((9b+4)^2-(18b+8)\)
11. \((8q-5)^2-(32q-20)\)
12. \((y+5)(y-8)+(5y+8)(y+5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3x-8)^2-(6x-16)\\=(3x-8)(3x-8)-2(3x-8)\\=(3x-10)(3x-8)\)
2. \((y-8)(y-1)+(5y+2)(y-8)\\=(y-8)(y-1+5y+2)\\=(y-8)(6y+1)\)
3. \((3p-1)(p-4)+(3p-1)(4p+3)\\=(3p-1)(p-4+4p+3)\\=(3p-1)(5p-1)\)
4. \((3p+5)(p-6)+(3p+5)(2p+4)\\=(3p+5)(p-6+2p+4)\\=(3p+5)(3p-2)\)
5. \((y+1)(y-3)-(5y-8)(y+1)\\=(y+1)(y-3-5y+8)\\=(y+1)(-4y+5)\)
6. \((x-1)(x-8)+(5x+6)(x-1)\\=(x-1)(x-8+5x+6)\\=(x-1)(6x-2)\)
7. \((7y-3)^2-(14y-6)\\=(7y-3)(7y-3)-2(7y-3)\\=(7y-5)(7y-3)\)
8. \((7y+7)(y+6)+(7y+7)(2y+7)\\=(7y+7)(y+6+2y+7)\\=(7y+7)(3y+13)\)
9. \((y-5)(y-2)-(2y+9)(y-5)\\=(y-5)(y-2-2y-9)\\=(y-5)(-y-11)\)
10. \((9b+4)^2-(18b+8)\\=(9b+4)(9b+4)-2(9b+4)\\=(9b+2)(9b+4)\)
11. \((8q-5)^2-(32q-20)\\=(8q-5)(8q-5)-4(8q-5)\\=(8q-9)(8q-5)\)
12. \((y+5)(y-8)+(5y+8)(y+5)\\=(y+5)(y-8+5y+8)\\=(y+5)(6y+0)\)