Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6p-5)^2+(12p-10)\)
2. \((9b+5)^2+(36b+20)\)
3. \((5q+1)(q-9)+(5q+1)(4q-5)\)
4. \((7q+5)(q-2)+(7q+5)(3q-3)\)
5. \((p+5)(p-4)+(2p+1)(p+5)\)
6. \((a-5)^2+(4a-20)\)
7. \((5x+4)(x+8)-(5x+4)(4x-4)\)
8. \((x-2)(x+7)-(5x-6)(x-2)\)
9. \((6q-3)(q+7)-(6q-3)(5q-6)\)
10. \((y-7)(y-9)-(2y+8)(y-7)\)
11. \((y+1)(y+2)+(5y-1)(y+1)\)
12. \((5q+9)(q-8)+(5q+9)(2q+2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6p-5)^2+(12p-10)\\=(6p-5)(6p-5)+2(6p-5)\\=(6p-3)(6p-5)\)
2. \((9b+5)^2+(36b+20)\\=(9b+5)(9b+5)+4(9b+5)\\=(9b+9)(9b+5)\)
3. \((5q+1)(q-9)+(5q+1)(4q-5)\\=(5q+1)(q-9+4q-5)\\=(5q+1)(5q-14)\)
4. \((7q+5)(q-2)+(7q+5)(3q-3)\\=(7q+5)(q-2+3q-3)\\=(7q+5)(4q-5)\)
5. \((p+5)(p-4)+(2p+1)(p+5)\\=(p+5)(p-4+2p+1)\\=(p+5)(3p-3)\)
6. \((a-5)^2+(4a-20)\\=(a-5)(a-5)+4(a-5)\\=(a-1)(a-5)\)
7. \((5x+4)(x+8)-(5x+4)(4x-4)\\=(5x+4)(x+8-4x+4)\\=(5x+4)(-3x+12)\)
8. \((x-2)(x+7)-(5x-6)(x-2)\\=(x-2)(x+7-5x+6)\\=(x-2)(-4x+13)\)
9. \((6q-3)(q+7)-(6q-3)(5q-6)\\=(6q-3)(q+7-5q+6)\\=(6q-3)(-4q+13)\)
10. \((y-7)(y-9)-(2y+8)(y-7)\\=(y-7)(y-9-2y-8)\\=(y-7)(-y-17)\)
11. \((y+1)(y+2)+(5y-1)(y+1)\\=(y+1)(y+2+5y-1)\\=(y+1)(6y+1)\)
12. \((5q+9)(q-8)+(5q+9)(2q+2)\\=(5q+9)(q-8+2q+2)\\=(5q+9)(3q-6)\)