Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((y-3)(y-6)+(4y-1)(y-3)\)
  2. \((q+7)(q-3)+(2q-6)(q+7)\)
  3. \((3p-6)(p+8)-(3p-6)(2p+4)\)
  4. \((3y-1)(y+8)+(3y-1)(2y+6)\)
  5. \((6p+4)(p+2)+(6p+4)(5p+5)\)
  6. \((q-3)(q-1)+(2q-3)(q-3)\)
  7. \((7y-6)(y+1)+(7y-6)(3y-5)\)
  8. \((8a-6)(a-5)-(8a-6)(5a-7)\)
  9. \((8p+1)^2+(24p+3)\)
  10. \((y-6)(y-6)-(2y+2)(y-6)\)
  11. \((8a-6)(a-2)+(8a-6)(5a-7)\)
  12. \((y-3)(y+8)-(4y-8)(y-3)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((y-3)(y-6)+(4y-1)(y-3)\\=(y-3)(y-6+4y-1)\\=(y-3)(5y-7)\)
  2. \((q+7)(q-3)+(2q-6)(q+7)\\=(q+7)(q-3+2q-6)\\=(q+7)(3q-9)\)
  3. \((3p-6)(p+8)-(3p-6)(2p+4)\\=(3p-6)(p+8-2p-4)\\=(3p-6)(-p+4)\)
  4. \((3y-1)(y+8)+(3y-1)(2y+6)\\=(3y-1)(y+8+2y+6)\\=(3y-1)(3y+14)\)
  5. \((6p+4)(p+2)+(6p+4)(5p+5)\\=(6p+4)(p+2+5p+5)\\=(6p+4)(6p+7)\)
  6. \((q-3)(q-1)+(2q-3)(q-3)\\=(q-3)(q-1+2q-3)\\=(q-3)(3q-4)\)
  7. \((7y-6)(y+1)+(7y-6)(3y-5)\\=(7y-6)(y+1+3y-5)\\=(7y-6)(4y-4)\)
  8. \((8a-6)(a-5)-(8a-6)(5a-7)\\=(8a-6)(a-5-5a+7)\\=(8a-6)(-4a+2)\)
  9. \((8p+1)^2+(24p+3)\\=(8p+1)(8p+1)+3(8p+1)\\=(8p+4)(8p+1)\)
  10. \((y-6)(y-6)-(2y+2)(y-6)\\=(y-6)(y-6-2y-2)\\=(y-6)(-y-8)\)
  11. \((8a-6)(a-2)+(8a-6)(5a-7)\\=(8a-6)(a-2+5a-7)\\=(8a-6)(6a-9)\)
  12. \((y-3)(y+8)-(4y-8)(y-3)\\=(y-3)(y+8-4y+8)\\=(y-3)(-3y+16)\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-26 20:36:07
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