Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((6y-5)^2+(18y-15)\)
  2. \((x-1)(x+9)+(3x+1)(x-1)\)
  3. \((a-9)(a-7)-(5a+4)(a-9)\)
  4. \((7s-5)(s-2)-(7s-5)(4s-6)\)
  5. \((6y+5)^2-(30y+25)\)
  6. \((3s+1)(s+9)+(3s+1)(2s+4)\)
  7. \((5b-1)(b-9)-(5b-1)(4b+9)\)
  8. \((b-7)(b+3)-(4b-9)(b-7)\)
  9. \((p+4)(p+5)+(2p-7)(p+4)\)
  10. \((7y-1)(y+4)+(7y-1)(5y+3)\)
  11. \((7b+4)(b-6)+(7b+4)(5b+8)\)
  12. \((4b+3)^2-(8b+6)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((6y-5)^2+(18y-15)\\=(6y-5)(6y-5)+3(6y-5)\\=(6y-2)(6y-5)\)
  2. \((x-1)(x+9)+(3x+1)(x-1)\\=(x-1)(x+9+3x+1)\\=(x-1)(4x+10)\)
  3. \((a-9)(a-7)-(5a+4)(a-9)\\=(a-9)(a-7-5a-4)\\=(a-9)(-4a-11)\)
  4. \((7s-5)(s-2)-(7s-5)(4s-6)\\=(7s-5)(s-2-4s+6)\\=(7s-5)(-3s+4)\)
  5. \((6y+5)^2-(30y+25)\\=(6y+5)(6y+5)-5(6y+5)\\=(6y+0)(6y+5)\)
  6. \((3s+1)(s+9)+(3s+1)(2s+4)\\=(3s+1)(s+9+2s+4)\\=(3s+1)(3s+13)\)
  7. \((5b-1)(b-9)-(5b-1)(4b+9)\\=(5b-1)(b-9-4b-9)\\=(5b-1)(-3b-18)\)
  8. \((b-7)(b+3)-(4b-9)(b-7)\\=(b-7)(b+3-4b+9)\\=(b-7)(-3b+12)\)
  9. \((p+4)(p+5)+(2p-7)(p+4)\\=(p+4)(p+5+2p-7)\\=(p+4)(3p-2)\)
  10. \((7y-1)(y+4)+(7y-1)(5y+3)\\=(7y-1)(y+4+5y+3)\\=(7y-1)(6y+7)\)
  11. \((7b+4)(b-6)+(7b+4)(5b+8)\\=(7b+4)(b-6+5b+8)\\=(7b+4)(6b+2)\)
  12. \((4b+3)^2-(8b+6)\\=(4b+3)(4b+3)-2(4b+3)\\=(4b+1)(4b+3)\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-19 10:17:08
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