Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6q+1)^2-(18q+3)\)
2. \((5x-5)(x-7)-(5x-5)(4x-7)\)
3. \((y-1)(y+1)-(4y+1)(y-1)\)
4. \((3p+6)(p-9)-(3p+6)(5p+4)\)
5. \((y+5)(y-2)+(3y-5)(y+5)\)
6. \((7p-1)(p+4)-(7p-1)(3p-3)\)
7. \((b+9)(b-5)+(2b+6)(b+9)\)
8. \((7b-6)^2+(35b-30)\)
9. \((9p-8)^2-(36p-32)\)
10. \((8p-5)(p+7)-(8p-5)(3p+9)\)
11. \((7q+5)(q+8)+(7q+5)(2q-2)\)
12. \((3s-8)^2+(6s-16)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6q+1)^2-(18q+3)\\=(6q+1)(6q+1)-3(6q+1)\\=(6q-2)(6q+1)\)
2. \((5x-5)(x-7)-(5x-5)(4x-7)\\=(5x-5)(x-7-4x+7)\\=(5x-5)(-3x+0)\)
3. \((y-1)(y+1)-(4y+1)(y-1)\\=(y-1)(y+1-4y-1)\\=(y-1)(-3y+0)\)
4. \((3p+6)(p-9)-(3p+6)(5p+4)\\=(3p+6)(p-9-5p-4)\\=(3p+6)(-4p-13)\)
5. \((y+5)(y-2)+(3y-5)(y+5)\\=(y+5)(y-2+3y-5)\\=(y+5)(4y-7)\)
6. \((7p-1)(p+4)-(7p-1)(3p-3)\\=(7p-1)(p+4-3p+3)\\=(7p-1)(-2p+7)\)
7. \((b+9)(b-5)+(2b+6)(b+9)\\=(b+9)(b-5+2b+6)\\=(b+9)(3b+1)\)
8. \((7b-6)^2+(35b-30)\\=(7b-6)(7b-6)+5(7b-6)\\=(7b-1)(7b-6)\)
9. \((9p-8)^2-(36p-32)\\=(9p-8)(9p-8)-4(9p-8)\\=(9p-12)(9p-8)\)
10. \((8p-5)(p+7)-(8p-5)(3p+9)\\=(8p-5)(p+7-3p-9)\\=(8p-5)(-2p-2)\)
11. \((7q+5)(q+8)+(7q+5)(2q-2)\\=(7q+5)(q+8+2q-2)\\=(7q+5)(3q+6)\)
12. \((3s-8)^2+(6s-16)\\=(3s-8)(3s-8)+2(3s-8)\\=(3s-6)(3s-8)\)