Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((s+5)(s-7)+(5s+4)(s+5)\)
  2. \((8y-3)(y+6)+(8y-3)(3y+4)\)
  3. \((9p+5)^2-(45p+25)\)
  4. \((s+7)(s-5)-(2s-9)(s+7)\)
  5. \((q+8)(q+8)-(4q-5)(q+8)\)
  6. \((b-8)(b-4)-(3b-2)(b-8)\)
  7. \((9p+7)^2+(45p+35)\)
  8. \((b+1)(b-7)-(4b+7)(b+1)\)
  9. \((4x+1)^2+(20x+5)\)
  10. \((3y+9)(y+7)+(3y+9)(4y+2)\)
  11. \((5a+3)(a+5)+(5a+3)(4a-6)\)
  12. \((7p+8)(p+1)+(7p+8)(2p-6)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((s+5)(s-7)+(5s+4)(s+5)\\=(s+5)(s-7+5s+4)\\=(s+5)(6s-3)\)
  2. \((8y-3)(y+6)+(8y-3)(3y+4)\\=(8y-3)(y+6+3y+4)\\=(8y-3)(4y+10)\)
  3. \((9p+5)^2-(45p+25)\\=(9p+5)(9p+5)-5(9p+5)\\=(9p+0)(9p+5)\)
  4. \((s+7)(s-5)-(2s-9)(s+7)\\=(s+7)(s-5-2s+9)\\=(s+7)(-s+4)\)
  5. \((q+8)(q+8)-(4q-5)(q+8)\\=(q+8)(q+8-4q+5)\\=(q+8)(-3q+13)\)
  6. \((b-8)(b-4)-(3b-2)(b-8)\\=(b-8)(b-4-3b+2)\\=(b-8)(-2b-2)\)
  7. \((9p+7)^2+(45p+35)\\=(9p+7)(9p+7)+5(9p+7)\\=(9p+12)(9p+7)\)
  8. \((b+1)(b-7)-(4b+7)(b+1)\\=(b+1)(b-7-4b-7)\\=(b+1)(-3b-14)\)
  9. \((4x+1)^2+(20x+5)\\=(4x+1)(4x+1)+5(4x+1)\\=(4x+6)(4x+1)\)
  10. \((3y+9)(y+7)+(3y+9)(4y+2)\\=(3y+9)(y+7+4y+2)\\=(3y+9)(5y+9)\)
  11. \((5a+3)(a+5)+(5a+3)(4a-6)\\=(5a+3)(a+5+4a-6)\\=(5a+3)(5a-1)\)
  12. \((7p+8)(p+1)+(7p+8)(2p-6)\\=(7p+8)(p+1+2p-6)\\=(7p+8)(3p-5)\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-15 10:04:28
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