Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((7x+8)(x-6)+(7x+8)(2x+3)\)
2. \((7y+1)^2+(21y+3)\)
3. \((9q+1)^2+(18q+2)\)
4. \((s+6)(s+7)+(2s+2)(s+6)\)
5. \((6x+1)^2+(18x+3)\)
6. \((5s-5)(s+1)-(5s-5)(2s+4)\)
7. \((3p+4)(p+7)-(3p+4)(4p+5)\)
8. \((9y+8)^2+(18y+16)\)
9. \((5q+3)^2-(10q+6)\)
10. \((s-7)(s-7)+(3s+3)(s-7)\)
11. \((2s+1)^2+(4s+2)\)
12. \((5q+7)(q-3)-(5q+7)(2q-3)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((7x+8)(x-6)+(7x+8)(2x+3)\\=(7x+8)(x-6+2x+3)\\=(7x+8)(3x-3)\)
2. \((7y+1)^2+(21y+3)\\=(7y+1)(7y+1)+3(7y+1)\\=(7y+4)(7y+1)\)
3. \((9q+1)^2+(18q+2)\\=(9q+1)(9q+1)+2(9q+1)\\=(9q+3)(9q+1)\)
4. \((s+6)(s+7)+(2s+2)(s+6)\\=(s+6)(s+7+2s+2)\\=(s+6)(3s+9)\)
5. \((6x+1)^2+(18x+3)\\=(6x+1)(6x+1)+3(6x+1)\\=(6x+4)(6x+1)\)
6. \((5s-5)(s+1)-(5s-5)(2s+4)\\=(5s-5)(s+1-2s-4)\\=(5s-5)(-s-3)\)
7. \((3p+4)(p+7)-(3p+4)(4p+5)\\=(3p+4)(p+7-4p-5)\\=(3p+4)(-3p+2)\)
8. \((9y+8)^2+(18y+16)\\=(9y+8)(9y+8)+2(9y+8)\\=(9y+10)(9y+8)\)
9. \((5q+3)^2-(10q+6)\\=(5q+3)(5q+3)-2(5q+3)\\=(5q+1)(5q+3)\)
10. \((s-7)(s-7)+(3s+3)(s-7)\\=(s-7)(s-7+3s+3)\\=(s-7)(4s-4)\)
11. \((2s+1)^2+(4s+2)\\=(2s+1)(2s+1)+2(2s+1)\\=(2s+3)(2s+1)\)
12. \((5q+7)(q-3)-(5q+7)(2q-3)\\=(5q+7)(q-3-2q+3)\\=(5q+7)(-q+0)\)