Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

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