Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3y+3)(y+2)-(3y+3)(2y-1)\)
2. \((q-9)^2-(3q-27)\)
3. \((3p+4)(p+1)+(3p+4)(5p+7)\)
4. \((9b+2)^2+(36b+8)\)
5. \((x-7)(x-4)-(2x+4)(x-7)\)
6. \((4q-7)(q+9)-(4q-7)(3q+4)\)
7. \((p+9)(p+6)-(3p+6)(p+9)\)
8. \((5p-2)^2+(15p-6)\)
9. \((a-6)(a-1)+(5a+5)(a-6)\)
10. \((p+1)(p-1)-(5p+6)(p+1)\)
11. \((5p-6)(p-2)+(5p-6)(2p+9)\)
12. \((3s-4)(s+9)+(3s-4)(4s-5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3y+3)(y+2)-(3y+3)(2y-1)\\=(3y+3)(y+2-2y+1)\\=(3y+3)(-y+3)\)
2. \((q-9)^2-(3q-27)\\=(q-9)(q-9)-3(q-9)\\=(q-12)(q-9)\)
3. \((3p+4)(p+1)+(3p+4)(5p+7)\\=(3p+4)(p+1+5p+7)\\=(3p+4)(6p+8)\)
4. \((9b+2)^2+(36b+8)\\=(9b+2)(9b+2)+4(9b+2)\\=(9b+6)(9b+2)\)
5. \((x-7)(x-4)-(2x+4)(x-7)\\=(x-7)(x-4-2x-4)\\=(x-7)(-x-8)\)
6. \((4q-7)(q+9)-(4q-7)(3q+4)\\=(4q-7)(q+9-3q-4)\\=(4q-7)(-2q+5)\)
7. \((p+9)(p+6)-(3p+6)(p+9)\\=(p+9)(p+6-3p-6)\\=(p+9)(-2p+0)\)
8. \((5p-2)^2+(15p-6)\\=(5p-2)(5p-2)+3(5p-2)\\=(5p+1)(5p-2)\)
9. \((a-6)(a-1)+(5a+5)(a-6)\\=(a-6)(a-1+5a+5)\\=(a-6)(6a+4)\)
10. \((p+1)(p-1)-(5p+6)(p+1)\\=(p+1)(p-1-5p-6)\\=(p+1)(-4p-7)\)
11. \((5p-6)(p-2)+(5p-6)(2p+9)\\=(5p-6)(p-2+2p+9)\\=(5p-6)(3p+7)\)
12. \((3s-4)(s+9)+(3s-4)(4s-5)\\=(3s-4)(s+9+4s-5)\\=(3s-4)(5s+4)\)