Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((7p-3)(p-2)+(7p-3)(3p+7)\)
  2. \((3a+2)(a-1)+(3a+2)(4a+8)\)
  3. \((3p-5)^2-(12p-20)\)
  4. \((y-6)(y+4)+(4y+2)(y-6)\)
  5. \((s-5)(s+7)+(2s-9)(s-5)\)
  6. \((5b-2)^2+(15b-6)\)
  7. \((7y+1)^2+(21y+3)\)
  8. \((y+2)(y-6)+(4y+8)(y+2)\)
  9. \((b+1)^2-(3b+3)\)
  10. \((3p+8)^2+(9p+24)\)
  11. \((p-6)(p+9)-(2p+9)(p-6)\)
  12. \((s-7)(s+3)-(5s-8)(s-7)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((7p-3)(p-2)+(7p-3)(3p+7)\\=(7p-3)(p-2+3p+7)\\=(7p-3)(4p+5)\)
  2. \((3a+2)(a-1)+(3a+2)(4a+8)\\=(3a+2)(a-1+4a+8)\\=(3a+2)(5a+7)\)
  3. \((3p-5)^2-(12p-20)\\=(3p-5)(3p-5)-4(3p-5)\\=(3p-9)(3p-5)\)
  4. \((y-6)(y+4)+(4y+2)(y-6)\\=(y-6)(y+4+4y+2)\\=(y-6)(5y+6)\)
  5. \((s-5)(s+7)+(2s-9)(s-5)\\=(s-5)(s+7+2s-9)\\=(s-5)(3s-2)\)
  6. \((5b-2)^2+(15b-6)\\=(5b-2)(5b-2)+3(5b-2)\\=(5b+1)(5b-2)\)
  7. \((7y+1)^2+(21y+3)\\=(7y+1)(7y+1)+3(7y+1)\\=(7y+4)(7y+1)\)
  8. \((y+2)(y-6)+(4y+8)(y+2)\\=(y+2)(y-6+4y+8)\\=(y+2)(5y+2)\)
  9. \((b+1)^2-(3b+3)\\=(b+1)(b+1)-3(b+1)\\=(b-2)(b+1)\)
  10. \((3p+8)^2+(9p+24)\\=(3p+8)(3p+8)+3(3p+8)\\=(3p+11)(3p+8)\)
  11. \((p-6)(p+9)-(2p+9)(p-6)\\=(p-6)(p+9-2p-9)\\=(p-6)(-p+0)\)
  12. \((s-7)(s+3)-(5s-8)(s-7)\\=(s-7)(s+3-5s+8)\\=(s-7)(-4s+11)\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-27 16:47:44
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