Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((x+5)(x+7)+(5x+7)(x+5)\\=(x+5)(x+7+5x+7)\\=(x+5)(6x+14)\)
2. \((y+9)(y-5)-(2y+8)(y+9)\\=(y+9)(y-5-2y-8)\\=(y+9)(-y-13)\)
3. \((2y+8)(y-5)-(2y+8)(5y-2)\\=(2y+8)(y-5-5y+2)\\=(2y+8)(-4y-3)\)
4. \((a+5)(a-5)+(2a-9)(a+5)\\=(a+5)(a-5+2a-9)\\=(a+5)(3a-14)\)
5. \((7q-3)(q+5)+(7q-3)(4q-6)\\=(7q-3)(q+5+4q-6)\\=(7q-3)(5q-1)\)
6. \((7p-6)(p+3)-(7p-6)(2p-2)\\=(7p-6)(p+3-2p+2)\\=(7p-6)(-p+5)\)
7. \((7s-1)(s-5)+(7s-1)(2s-4)\\=(7s-1)(s-5+2s-4)\\=(7s-1)(3s-9)\)
8. \((x+3)(x-4)-(5x-3)(x+3)\\=(x+3)(x-4-5x+3)\\=(x+3)(-4x-1)\)
9. \((b+2)(b-8)+(2b+2)(b+2)\\=(b+2)(b-8+2b+2)\\=(b+2)(3b-6)\)
10. \((6q+1)^2-(12q+2)\\=(6q+1)(6q+1)-2(6q+1)\\=(6q-1)(6q+1)\)
11. \((5a-7)(a-5)-(5a-7)(2a-8)\\=(5a-7)(a-5-2a+8)\\=(5a-7)(-a+3)\)
12. \((7p-3)(p-5)+(7p-3)(2p+2)\\=(7p-3)(p-5+2p+2)\\=(7p-3)(3p-3)\)