Tweeterm als gem. factor (3)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

  1. \((7y+6)(y+5)+(7y+6)(3y-8)\)
  2. \((2a+1)^2+(8a+4)\)
  3. \((7p+3)^2-(28p+12)\)
  4. \((8x-5)^2-(16x-10)\)
  5. \((3a-3)(a-6)-(3a-3)(4a+5)\)
  6. \((x-6)(x+1)+(3x-4)(x-6)\)
  7. \((9y+8)^2+(27y+24)\)
  8. \((2s+8)(s-9)-(2s+8)(5s-4)\)
  9. \((7p-5)(p+2)+(7p-5)(4p-4)\)
  10. \((8y+1)^2+(24y+3)\)
  11. \((q+7)^2-(5q+35)\)
  12. \((b+5)(b-4)-(4b-4)(b+5)\)

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

  1. \((7y+6)(y+5)+(7y+6)(3y-8)\\=(7y+6)(y+5+3y-8)\\=(7y+6)(4y-3)\)
  2. \((2a+1)^2+(8a+4)\\=(2a+1)(2a+1)+4(2a+1)\\=(2a+5)(2a+1)\)
  3. \((7p+3)^2-(28p+12)\\=(7p+3)(7p+3)-4(7p+3)\\=(7p-1)(7p+3)\)
  4. \((8x-5)^2-(16x-10)\\=(8x-5)(8x-5)-2(8x-5)\\=(8x-7)(8x-5)\)
  5. \((3a-3)(a-6)-(3a-3)(4a+5)\\=(3a-3)(a-6-4a-5)\\=(3a-3)(-3a-11)\)
  6. \((x-6)(x+1)+(3x-4)(x-6)\\=(x-6)(x+1+3x-4)\\=(x-6)(4x-3)\)
  7. \((9y+8)^2+(27y+24)\\=(9y+8)(9y+8)+3(9y+8)\\=(9y+11)(9y+8)\)
  8. \((2s+8)(s-9)-(2s+8)(5s-4)\\=(2s+8)(s-9-5s+4)\\=(2s+8)(-4s-5)\)
  9. \((7p-5)(p+2)+(7p-5)(4p-4)\\=(7p-5)(p+2+4p-4)\\=(7p-5)(5p-2)\)
  10. \((8y+1)^2+(24y+3)\\=(8y+1)(8y+1)+3(8y+1)\\=(8y+4)(8y+1)\)
  11. \((q+7)^2-(5q+35)\\=(q+7)(q+7)-5(q+7)\\=(q+2)(q+7)\)
  12. \((b+5)(b-4)-(4b-4)(b+5)\\=(b+5)(b-4-4b+4)\\=(b+5)(-3b+0)\)
Oefeningengenerator wiskundeoefeningen.be 2026-08-31 11:12:31
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