Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6a+1)^2-(30a+5)\)
2. \((7b-6)(b-9)-(7b-6)(3b-4)\)
3. \((b-8)(b-3)+(4b+9)(b-8)\)
4. \((p+2)(p+6)-(2p-5)(p+2)\)
5. \((4b-1)(b+5)+(4b-1)(5b+2)\)
6. \((p-6)(p+9)+(3p+3)(p-6)\)
7. \((4p+3)^2+(16p+12)\)
8. \((8p+1)(p-4)+(8p+1)(5p-1)\)
9. \((8b+5)(b-7)-(8b+5)(3b+1)\)
10. \((a-7)(a-5)+(5a-9)(a-7)\)
11. \((q-2)^2+(2q-4)\)
12. \((8p+1)^2+(40p+5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6a+1)^2-(30a+5)\\=(6a+1)(6a+1)-5(6a+1)\\=(6a-4)(6a+1)\)
2. \((7b-6)(b-9)-(7b-6)(3b-4)\\=(7b-6)(b-9-3b+4)\\=(7b-6)(-2b-5)\)
3. \((b-8)(b-3)+(4b+9)(b-8)\\=(b-8)(b-3+4b+9)\\=(b-8)(5b+6)\)
4. \((p+2)(p+6)-(2p-5)(p+2)\\=(p+2)(p+6-2p+5)\\=(p+2)(-p+11)\)
5. \((4b-1)(b+5)+(4b-1)(5b+2)\\=(4b-1)(b+5+5b+2)\\=(4b-1)(6b+7)\)
6. \((p-6)(p+9)+(3p+3)(p-6)\\=(p-6)(p+9+3p+3)\\=(p-6)(4p+12)\)
7. \((4p+3)^2+(16p+12)\\=(4p+3)(4p+3)+4(4p+3)\\=(4p+7)(4p+3)\)
8. \((8p+1)(p-4)+(8p+1)(5p-1)\\=(8p+1)(p-4+5p-1)\\=(8p+1)(6p-5)\)
9. \((8b+5)(b-7)-(8b+5)(3b+1)\\=(8b+5)(b-7-3b-1)\\=(8b+5)(-2b-8)\)
10. \((a-7)(a-5)+(5a-9)(a-7)\\=(a-7)(a-5+5a-9)\\=(a-7)(6a-14)\)
11. \((q-2)^2+(2q-4)\\=(q-2)(q-2)+2(q-2)\\=(q+0)(q-2)\)
12. \((8p+1)^2+(40p+5)\\=(8p+1)(8p+1)+5(8p+1)\\=(8p+6)(8p+1)\)