Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6q+7)^2+(30q+35)\)
2. \((5x+3)^2+(20x+12)\)
3. \((9b-8)^2+(18b-16)\)
4. \((s+8)(s-4)-(5s-3)(s+8)\)
5. \((x-3)(x+6)+(2x-7)(x-3)\)
6. \((6q+7)(q+7)-(6q+7)(5q+6)\)
7. \((a+7)(a+9)-(4a+3)(a+7)\)
8. \((3x-7)(x+5)+(3x-7)(5x+2)\)
9. \((7a-1)(a+2)-(7a-1)(2a-5)\)
10. \((8q+1)^2+(32q+4)\)
11. \((5x+8)(x+6)+(5x+8)(4x-4)\)
12. \((3b+2)(b-8)+(3b+2)(2b-1)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6q+7)^2+(30q+35)\\=(6q+7)(6q+7)+5(6q+7)\\=(6q+12)(6q+7)\)
2. \((5x+3)^2+(20x+12)\\=(5x+3)(5x+3)+4(5x+3)\\=(5x+7)(5x+3)\)
3. \((9b-8)^2+(18b-16)\\=(9b-8)(9b-8)+2(9b-8)\\=(9b-6)(9b-8)\)
4. \((s+8)(s-4)-(5s-3)(s+8)\\=(s+8)(s-4-5s+3)\\=(s+8)(-4s-1)\)
5. \((x-3)(x+6)+(2x-7)(x-3)\\=(x-3)(x+6+2x-7)\\=(x-3)(3x-1)\)
6. \((6q+7)(q+7)-(6q+7)(5q+6)\\=(6q+7)(q+7-5q-6)\\=(6q+7)(-4q+1)\)
7. \((a+7)(a+9)-(4a+3)(a+7)\\=(a+7)(a+9-4a-3)\\=(a+7)(-3a+6)\)
8. \((3x-7)(x+5)+(3x-7)(5x+2)\\=(3x-7)(x+5+5x+2)\\=(3x-7)(6x+7)\)
9. \((7a-1)(a+2)-(7a-1)(2a-5)\\=(7a-1)(a+2-2a+5)\\=(7a-1)(-a+7)\)
10. \((8q+1)^2+(32q+4)\\=(8q+1)(8q+1)+4(8q+1)\\=(8q+5)(8q+1)\)
11. \((5x+8)(x+6)+(5x+8)(4x-4)\\=(5x+8)(x+6+4x-4)\\=(5x+8)(5x+2)\)
12. \((3b+2)(b-8)+(3b+2)(2b-1)\\=(3b+2)(b-8+2b-1)\\=(3b+2)(3b-9)\)