Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5q+8)(q-6)-(5q+8)(4q-8)\)
2. \((3s+7)^2+(15s+35)\)
3. \((s-8)(s-6)+(4s+8)(s-8)\)
4. \((4p+5)^2+(12p+15)\)
5. \((q-2)(q+7)+(5q-8)(q-2)\)
6. \((4a-7)(a-5)+(4a-7)(3a+8)\)
7. \((8x+3)^2-(16x+6)\)
8. \((q-8)(q-3)-(3q+1)(q-8)\)
9. \((s-5)(s+1)-(2s+6)(s-5)\)
10. \((8b+1)^2-(24b+3)\)
11. \((8q-7)^2-(40q-35)\)
12. \((3q-9)(q+2)-(3q-9)(2q-2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5q+8)(q-6)-(5q+8)(4q-8)\\=(5q+8)(q-6-4q+8)\\=(5q+8)(-3q+2)\)
2. \((3s+7)^2+(15s+35)\\=(3s+7)(3s+7)+5(3s+7)\\=(3s+12)(3s+7)\)
3. \((s-8)(s-6)+(4s+8)(s-8)\\=(s-8)(s-6+4s+8)\\=(s-8)(5s+2)\)
4. \((4p+5)^2+(12p+15)\\=(4p+5)(4p+5)+3(4p+5)\\=(4p+8)(4p+5)\)
5. \((q-2)(q+7)+(5q-8)(q-2)\\=(q-2)(q+7+5q-8)\\=(q-2)(6q-1)\)
6. \((4a-7)(a-5)+(4a-7)(3a+8)\\=(4a-7)(a-5+3a+8)\\=(4a-7)(4a+3)\)
7. \((8x+3)^2-(16x+6)\\=(8x+3)(8x+3)-2(8x+3)\\=(8x+1)(8x+3)\)
8. \((q-8)(q-3)-(3q+1)(q-8)\\=(q-8)(q-3-3q-1)\\=(q-8)(-2q-4)\)
9. \((s-5)(s+1)-(2s+6)(s-5)\\=(s-5)(s+1-2s-6)\\=(s-5)(-s-5)\)
10. \((8b+1)^2-(24b+3)\\=(8b+1)(8b+1)-3(8b+1)\\=(8b-2)(8b+1)\)
11. \((8q-7)^2-(40q-35)\\=(8q-7)(8q-7)-5(8q-7)\\=(8q-12)(8q-7)\)
12. \((3q-9)(q+2)-(3q-9)(2q-2)\\=(3q-9)(q+2-2q+2)\\=(3q-9)(-q+4)\)