Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((y-2)(y+2)-(5y-3)(y-2)\)
2. \((4y+5)^2-(16y+20)\)
3. \((7q-4)(q-1)-(7q-4)(4q-6)\)
4. \((p+1)(p+9)-(2p+2)(p+1)\)
5. \((q-4)(q+8)+(3q-3)(q-4)\)
6. \((3q+2)(q-8)+(3q+2)(4q+1)\)
7. \((3s-5)^2-(6s-10)\)
8. \((7p-9)(p+5)-(7p-9)(4p+9)\)
9. \((8b-7)^2-(40b-35)\)
10. \((4x-3)^2+(16x-12)\)
11. \((9b-8)^2+(18b-16)\)
12. \((4s-9)(s-6)-(4s-9)(5s+3)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((y-2)(y+2)-(5y-3)(y-2)\\=(y-2)(y+2-5y+3)\\=(y-2)(-4y+5)\)
2. \((4y+5)^2-(16y+20)\\=(4y+5)(4y+5)-4(4y+5)\\=(4y+1)(4y+5)\)
3. \((7q-4)(q-1)-(7q-4)(4q-6)\\=(7q-4)(q-1-4q+6)\\=(7q-4)(-3q+5)\)
4. \((p+1)(p+9)-(2p+2)(p+1)\\=(p+1)(p+9-2p-2)\\=(p+1)(-p+7)\)
5. \((q-4)(q+8)+(3q-3)(q-4)\\=(q-4)(q+8+3q-3)\\=(q-4)(4q+5)\)
6. \((3q+2)(q-8)+(3q+2)(4q+1)\\=(3q+2)(q-8+4q+1)\\=(3q+2)(5q-7)\)
7. \((3s-5)^2-(6s-10)\\=(3s-5)(3s-5)-2(3s-5)\\=(3s-7)(3s-5)\)
8. \((7p-9)(p+5)-(7p-9)(4p+9)\\=(7p-9)(p+5-4p-9)\\=(7p-9)(-3p-4)\)
9. \((8b-7)^2-(40b-35)\\=(8b-7)(8b-7)-5(8b-7)\\=(8b-12)(8b-7)\)
10. \((4x-3)^2+(16x-12)\\=(4x-3)(4x-3)+4(4x-3)\\=(4x+1)(4x-3)\)
11. \((9b-8)^2+(18b-16)\\=(9b-8)(9b-8)+2(9b-8)\\=(9b-6)(9b-8)\)
12. \((4s-9)(s-6)-(4s-9)(5s+3)\\=(4s-9)(s-6-5s-3)\\=(4s-9)(-4s-9)\)