Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((a-6)(a+5)-(3a+1)(a-6)\\=(a-6)(a+5-3a-1)\\=(a-6)(-2a+4)\)
2. \((2s+1)^2+(4s+2)\\=(2s+1)(2s+1)+2(2s+1)\\=(2s+3)(2s+1)\)
3. \((9y+2)^2-(45y+10)\\=(9y+2)(9y+2)-5(9y+2)\\=(9y-3)(9y+2)\)
4. \((3s-5)(s-1)-(3s-5)(4s+5)\\=(3s-5)(s-1-4s-5)\\=(3s-5)(-3s-6)\)
5. \((5a-6)(a+2)-(5a-6)(4a-8)\\=(5a-6)(a+2-4a+8)\\=(5a-6)(-3a+10)\)
6. \((a-8)(a+6)-(3a+9)(a-8)\\=(a-8)(a+6-3a-9)\\=(a-8)(-2a-3)\)
7. \((6x+7)(x-2)+(6x+7)(5x-5)\\=(6x+7)(x-2+5x-5)\\=(6x+7)(6x-7)\)
8. \((7y+4)(y-2)+(7y+4)(3y-4)\\=(7y+4)(y-2+3y-4)\\=(7y+4)(4y-6)\)
9. \((5p+8)^2+(25p+40)\\=(5p+8)(5p+8)+5(5p+8)\\=(5p+13)(5p+8)\)
10. \((7p-2)(p+5)+(7p-2)(4p-5)\\=(7p-2)(p+5+4p-5)\\=(7p-2)(5p+0)\)
11. \((4p-1)(p-2)-(4p-1)(3p-7)\\=(4p-1)(p-2-3p+7)\\=(4p-1)(-2p+5)\)
12. \((6y-4)(y+9)-(6y-4)(5y-3)\\=(6y-4)(y+9-5y+3)\\=(6y-4)(-4y+12)\)