Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5p+1)^2-(15p+3)\)
2. \((p+7)(p+2)+(4p-8)(p+7)\)
3. \((3a+9)(a-3)+(3a+9)(4a-8)\)
4. \((p-6)(p+2)-(4p-7)(p-6)\)
5. \((5s+8)(s+3)-(5s+8)(4s-2)\)
6. \((7a-9)(a-1)+(7a-9)(3a+8)\)
7. \((8p+3)^2+(32p+12)\)
8. \((7b+1)^2+(21b+3)\)
9. \((s+4)(s+4)-(5s+3)(s+4)\)
10. \((q-5)(q+9)-(3q+9)(q-5)\)
11. \((x-1)(x-4)+(5x-2)(x-1)\)
12. \((5p-9)^2-(25p-45)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5p+1)^2-(15p+3)\\=(5p+1)(5p+1)-3(5p+1)\\=(5p-2)(5p+1)\)
2. \((p+7)(p+2)+(4p-8)(p+7)\\=(p+7)(p+2+4p-8)\\=(p+7)(5p-6)\)
3. \((3a+9)(a-3)+(3a+9)(4a-8)\\=(3a+9)(a-3+4a-8)\\=(3a+9)(5a-11)\)
4. \((p-6)(p+2)-(4p-7)(p-6)\\=(p-6)(p+2-4p+7)\\=(p-6)(-3p+9)\)
5. \((5s+8)(s+3)-(5s+8)(4s-2)\\=(5s+8)(s+3-4s+2)\\=(5s+8)(-3s+5)\)
6. \((7a-9)(a-1)+(7a-9)(3a+8)\\=(7a-9)(a-1+3a+8)\\=(7a-9)(4a+7)\)
7. \((8p+3)^2+(32p+12)\\=(8p+3)(8p+3)+4(8p+3)\\=(8p+7)(8p+3)\)
8. \((7b+1)^2+(21b+3)\\=(7b+1)(7b+1)+3(7b+1)\\=(7b+4)(7b+1)\)
9. \((s+4)(s+4)-(5s+3)(s+4)\\=(s+4)(s+4-5s-3)\\=(s+4)(-4s+1)\)
10. \((q-5)(q+9)-(3q+9)(q-5)\\=(q-5)(q+9-3q-9)\\=(q-5)(-2q+0)\)
11. \((x-1)(x-4)+(5x-2)(x-1)\\=(x-1)(x-4+5x-2)\\=(x-1)(6x-6)\)
12. \((5p-9)^2-(25p-45)\\=(5p-9)(5p-9)-5(5p-9)\\=(5p-14)(5p-9)\)