Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((2x-5)(x-4)-(2x-5)(3x+4)\)
2. \((q-4)(q-1)+(4q+2)(q-4)\)
3. \((p+4)(p+3)+(4p-8)(p+4)\)
4. \((7a+5)^2+(28a+20)\)
5. \((6b+1)^2+(24b+4)\)
6. \((y+8)^2+(5y+40)\)
7. \((6a+5)^2+(18a+15)\)
8. \((b+1)(b+4)+(4b+2)(b+1)\)
9. \((2p+1)(p-6)-(2p+1)(5p-6)\)
10. \((8y-9)(y+9)+(8y-9)(5y-2)\)
11. \((x-5)(x-6)+(5x+7)(x-5)\)
12. \((7q+7)(q-4)+(7q+7)(4q+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((2x-5)(x-4)-(2x-5)(3x+4)\\=(2x-5)(x-4-3x-4)\\=(2x-5)(-2x-8)\)
2. \((q-4)(q-1)+(4q+2)(q-4)\\=(q-4)(q-1+4q+2)\\=(q-4)(5q+1)\)
3. \((p+4)(p+3)+(4p-8)(p+4)\\=(p+4)(p+3+4p-8)\\=(p+4)(5p-5)\)
4. \((7a+5)^2+(28a+20)\\=(7a+5)(7a+5)+4(7a+5)\\=(7a+9)(7a+5)\)
5. \((6b+1)^2+(24b+4)\\=(6b+1)(6b+1)+4(6b+1)\\=(6b+5)(6b+1)\)
6. \((y+8)^2+(5y+40)\\=(y+8)(y+8)+5(y+8)\\=(y+13)(y+8)\)
7. \((6a+5)^2+(18a+15)\\=(6a+5)(6a+5)+3(6a+5)\\=(6a+8)(6a+5)\)
8. \((b+1)(b+4)+(4b+2)(b+1)\\=(b+1)(b+4+4b+2)\\=(b+1)(5b+6)\)
9. \((2p+1)(p-6)-(2p+1)(5p-6)\\=(2p+1)(p-6-5p+6)\\=(2p+1)(-4p+0)\)
10. \((8y-9)(y+9)+(8y-9)(5y-2)\\=(8y-9)(y+9+5y-2)\\=(8y-9)(6y+7)\)
11. \((x-5)(x-6)+(5x+7)(x-5)\\=(x-5)(x-6+5x+7)\\=(x-5)(6x+1)\)
12. \((7q+7)(q-4)+(7q+7)(4q+4)\\=(7q+7)(q-4+4q+4)\\=(7q+7)(5q+0)\)