Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6x+5)(x+8)+(6x+5)(5x-8)\)
2. \((8a-5)^2-(16a-10)\)
3. \((s-8)(s-9)-(5s+8)(s-8)\)
4. \((8q-2)(q+8)+(8q-2)(3q+5)\)
5. \((4b+7)^2+(20b+35)\)
6. \((7a+8)(a+3)+(7a+8)(2a-5)\)
7. \((a+8)(a-6)-(2a-7)(a+8)\)
8. \((7y-6)^2-(35y-30)\)
9. \((9a-2)^2-(36a-8)\)
10. \((6b-5)^2-(24b-20)\)
11. \((8y-7)^2+(32y-28)\)
12. \((6p-7)(p-6)+(6p-7)(5p+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6x+5)(x+8)+(6x+5)(5x-8)\\=(6x+5)(x+8+5x-8)\\=(6x+5)(6x+0)\)
2. \((8a-5)^2-(16a-10)\\=(8a-5)(8a-5)-2(8a-5)\\=(8a-7)(8a-5)\)
3. \((s-8)(s-9)-(5s+8)(s-8)\\=(s-8)(s-9-5s-8)\\=(s-8)(-4s-17)\)
4. \((8q-2)(q+8)+(8q-2)(3q+5)\\=(8q-2)(q+8+3q+5)\\=(8q-2)(4q+13)\)
5. \((4b+7)^2+(20b+35)\\=(4b+7)(4b+7)+5(4b+7)\\=(4b+12)(4b+7)\)
6. \((7a+8)(a+3)+(7a+8)(2a-5)\\=(7a+8)(a+3+2a-5)\\=(7a+8)(3a-2)\)
7. \((a+8)(a-6)-(2a-7)(a+8)\\=(a+8)(a-6-2a+7)\\=(a+8)(-a+1)\)
8. \((7y-6)^2-(35y-30)\\=(7y-6)(7y-6)-5(7y-6)\\=(7y-11)(7y-6)\)
9. \((9a-2)^2-(36a-8)\\=(9a-2)(9a-2)-4(9a-2)\\=(9a-6)(9a-2)\)
10. \((6b-5)^2-(24b-20)\\=(6b-5)(6b-5)-4(6b-5)\\=(6b-9)(6b-5)\)
11. \((8y-7)^2+(32y-28)\\=(8y-7)(8y-7)+4(8y-7)\\=(8y-3)(8y-7)\)
12. \((6p-7)(p-6)+(6p-7)(5p+4)\\=(6p-7)(p-6+5p+4)\\=(6p-7)(6p-2)\)