Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3y-5)^2+(6y-10)\\=(3y-5)(3y-5)+2(3y-5)\\=(3y-3)(3y-5)\)
2. \((6b+7)(b+7)+(6b+7)(5b+7)\\=(6b+7)(b+7+5b+7)\\=(6b+7)(6b+14)\)
3. \((a-1)(a-4)-(3a+5)(a-1)\\=(a-1)(a-4-3a-5)\\=(a-1)(-2a-9)\)
4. \((3p+3)(p+9)+(3p+3)(4p-4)\\=(3p+3)(p+9+4p-4)\\=(3p+3)(5p+5)\)
5. \((3x-2)^2-(12x-8)\\=(3x-2)(3x-2)-4(3x-2)\\=(3x-6)(3x-2)\)
6. \((3q+9)(q-7)-(3q+9)(2q-2)\\=(3q+9)(q-7-2q+2)\\=(3q+9)(-q-5)\)
7. \((2y-2)(y+2)-(2y-2)(3y+2)\\=(2y-2)(y+2-3y-2)\\=(2y-2)(-2y+0)\)
8. \((x+5)(x-4)+(2x+1)(x+5)\\=(x+5)(x-4+2x+1)\\=(x+5)(3x-3)\)
9. \((b+6)(b+4)-(5b-1)(b+6)\\=(b+6)(b+4-5b+1)\\=(b+6)(-4b+5)\)
10. \((3y-6)(y+1)-(3y-6)(2y-7)\\=(3y-6)(y+1-2y+7)\\=(3y-6)(-y+8)\)
11. \((3q-8)^2-(9q-24)\\=(3q-8)(3q-8)-3(3q-8)\\=(3q-11)(3q-8)\)
12. \((8y+1)^2-(16y+2)\\=(8y+1)(8y+1)-2(8y+1)\\=(8y-1)(8y+1)\)