Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((8y-5)(y-8)-(8y-5)(3y-2)\)
  2. \((a+9)(a-3)-(5a-2)(a+9)\)
  3. \((5p-4)(p+7)+(5p-4)(2p-1)\)
  4. \((6q+1)^2+(12q+2)\)
  5. \((b+5)(b+1)-(2b+2)(b+5)\)
  6. \((y-2)(y-5)+(2y-9)(y-2)\)
  7. \((a-4)(a+8)+(5a-9)(a-4)\)
  8. \((4a+1)(a-7)+(4a+1)(3a+4)\)
  9. \((b-2)(b+9)+(4b+4)(b-2)\)
  10. \((7q-8)(q-5)+(7q-8)(5q-9)\)
  11. \((7x+6)^2-(28x+24)\)
  12. \((s-4)(s+2)+(2s+5)(s-4)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((8y-5)(y-8)-(8y-5)(3y-2)\\=(8y-5)(y-8-3y+2)\\=(8y-5)(-2y-6)\)
  2. \((a+9)(a-3)-(5a-2)(a+9)\\=(a+9)(a-3-5a+2)\\=(a+9)(-4a-1)\)
  3. \((5p-4)(p+7)+(5p-4)(2p-1)\\=(5p-4)(p+7+2p-1)\\=(5p-4)(3p+6)\)
  4. \((6q+1)^2+(12q+2)\\=(6q+1)(6q+1)+2(6q+1)\\=(6q+3)(6q+1)\)
  5. \((b+5)(b+1)-(2b+2)(b+5)\\=(b+5)(b+1-2b-2)\\=(b+5)(-b-1)\)
  6. \((y-2)(y-5)+(2y-9)(y-2)\\=(y-2)(y-5+2y-9)\\=(y-2)(3y-14)\)
  7. \((a-4)(a+8)+(5a-9)(a-4)\\=(a-4)(a+8+5a-9)\\=(a-4)(6a-1)\)
  8. \((4a+1)(a-7)+(4a+1)(3a+4)\\=(4a+1)(a-7+3a+4)\\=(4a+1)(4a-3)\)
  9. \((b-2)(b+9)+(4b+4)(b-2)\\=(b-2)(b+9+4b+4)\\=(b-2)(5b+13)\)
  10. \((7q-8)(q-5)+(7q-8)(5q-9)\\=(7q-8)(q-5+5q-9)\\=(7q-8)(6q-14)\)
  11. \((7x+6)^2-(28x+24)\\=(7x+6)(7x+6)-4(7x+6)\\=(7x+2)(7x+6)\)
  12. \((s-4)(s+2)+(2s+5)(s-4)\\=(s-4)(s+2+2s+5)\\=(s-4)(3s+7)\)
Oefeningengenerator vanhoeckes.be/wiskunde 2025-05-20 04:58:14