Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((x+6)(x-1)+(4x+6)(x+6)\)
2. \((4s+1)(s-7)-(4s+1)(5s+3)\)
3. \((s-1)(s-2)-(5s-7)(s-1)\)
4. \((8q+1)^2+(40q+5)\)
5. \((5p-7)^2-(25p-35)\)
6. \((7y+3)(y+5)+(7y+3)(4y+1)\)
7. \((7b+3)^2+(21b+9)\)
8. \((a-5)(a+3)-(5a-4)(a-5)\)
9. \((7y-2)^2-(35y-10)\)
10. \((9x+1)^2+(45x+5)\)
11. \((a-5)(a+9)+(5a-1)(a-5)\)
12. \((x+4)(x-8)+(5x-8)(x+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((x+6)(x-1)+(4x+6)(x+6)\\=(x+6)(x-1+4x+6)\\=(x+6)(5x+5)\)
2. \((4s+1)(s-7)-(4s+1)(5s+3)\\=(4s+1)(s-7-5s-3)\\=(4s+1)(-4s-10)\)
3. \((s-1)(s-2)-(5s-7)(s-1)\\=(s-1)(s-2-5s+7)\\=(s-1)(-4s+5)\)
4. \((8q+1)^2+(40q+5)\\=(8q+1)(8q+1)+5(8q+1)\\=(8q+6)(8q+1)\)
5. \((5p-7)^2-(25p-35)\\=(5p-7)(5p-7)-5(5p-7)\\=(5p-12)(5p-7)\)
6. \((7y+3)(y+5)+(7y+3)(4y+1)\\=(7y+3)(y+5+4y+1)\\=(7y+3)(5y+6)\)
7. \((7b+3)^2+(21b+9)\\=(7b+3)(7b+3)+3(7b+3)\\=(7b+6)(7b+3)\)
8. \((a-5)(a+3)-(5a-4)(a-5)\\=(a-5)(a+3-5a+4)\\=(a-5)(-4a+7)\)
9. \((7y-2)^2-(35y-10)\\=(7y-2)(7y-2)-5(7y-2)\\=(7y-7)(7y-2)\)
10. \((9x+1)^2+(45x+5)\\=(9x+1)(9x+1)+5(9x+1)\\=(9x+6)(9x+1)\)
11. \((a-5)(a+9)+(5a-1)(a-5)\\=(a-5)(a+9+5a-1)\\=(a-5)(6a+8)\)
12. \((x+4)(x-8)+(5x-8)(x+4)\\=(x+4)(x-8+5x-8)\\=(x+4)(6x-16)\)