Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3q+1)^2-(6q+2)\)
2. \((5q+5)(q+9)+(5q+5)(2q+7)\)
3. \((s+4)(s+8)-(2s-9)(s+4)\)
4. \((9s-8)^2-(27s-24)\)
5. \((4b-3)^2+(8b-6)\)
6. \((2y-8)(y-2)+(2y-8)(5y-6)\)
7. \((s-4)(s-1)+(5s+6)(s-4)\)
8. \((b-2)(b+8)+(3b+3)(b-2)\)
9. \((7b+1)^2+(35b+5)\)
10. \((6p+2)(p+6)-(6p+2)(5p-1)\)
11. \((a+7)(a-6)+(2a+3)(a+7)\)
12. \((8p+1)^2+(32p+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3q+1)^2-(6q+2)\\=(3q+1)(3q+1)-2(3q+1)\\=(3q-1)(3q+1)\)
2. \((5q+5)(q+9)+(5q+5)(2q+7)\\=(5q+5)(q+9+2q+7)\\=(5q+5)(3q+16)\)
3. \((s+4)(s+8)-(2s-9)(s+4)\\=(s+4)(s+8-2s+9)\\=(s+4)(-s+17)\)
4. \((9s-8)^2-(27s-24)\\=(9s-8)(9s-8)-3(9s-8)\\=(9s-11)(9s-8)\)
5. \((4b-3)^2+(8b-6)\\=(4b-3)(4b-3)+2(4b-3)\\=(4b-1)(4b-3)\)
6. \((2y-8)(y-2)+(2y-8)(5y-6)\\=(2y-8)(y-2+5y-6)\\=(2y-8)(6y-8)\)
7. \((s-4)(s-1)+(5s+6)(s-4)\\=(s-4)(s-1+5s+6)\\=(s-4)(6s+5)\)
8. \((b-2)(b+8)+(3b+3)(b-2)\\=(b-2)(b+8+3b+3)\\=(b-2)(4b+11)\)
9. \((7b+1)^2+(35b+5)\\=(7b+1)(7b+1)+5(7b+1)\\=(7b+6)(7b+1)\)
10. \((6p+2)(p+6)-(6p+2)(5p-1)\\=(6p+2)(p+6-5p+1)\\=(6p+2)(-4p+7)\)
11. \((a+7)(a-6)+(2a+3)(a+7)\\=(a+7)(a-6+2a+3)\\=(a+7)(3a-3)\)
12. \((8p+1)^2+(32p+4)\\=(8p+1)(8p+1)+4(8p+1)\\=(8p+5)(8p+1)\)