Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5q-7)(q+4)-(5q-7)(4q+3)\)
2. \((7a-5)(a+3)+(7a-5)(2a-4)\)
3. \((3p-9)(p+7)-(3p-9)(2p+6)\)
4. \((b-3)(b+5)+(3b+3)(b-3)\)
5. \((4b+3)^2-(16b+12)\)
6. \((q-8)(q+5)+(5q-5)(q-8)\)
7. \((3a+4)^2+(15a+20)\)
8. \((8p+1)^2-(32p+4)\)
9. \((y-1)(y-9)+(4y-1)(y-1)\)
10. \((5y-2)^2-(10y-4)\)
11. \((7q-8)(q-4)+(7q-8)(2q-1)\)
12. \((3s+1)^2+(6s+2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5q-7)(q+4)-(5q-7)(4q+3)\\=(5q-7)(q+4-4q-3)\\=(5q-7)(-3q+1)\)
2. \((7a-5)(a+3)+(7a-5)(2a-4)\\=(7a-5)(a+3+2a-4)\\=(7a-5)(3a-1)\)
3. \((3p-9)(p+7)-(3p-9)(2p+6)\\=(3p-9)(p+7-2p-6)\\=(3p-9)(-p+1)\)
4. \((b-3)(b+5)+(3b+3)(b-3)\\=(b-3)(b+5+3b+3)\\=(b-3)(4b+8)\)
5. \((4b+3)^2-(16b+12)\\=(4b+3)(4b+3)-4(4b+3)\\=(4b-1)(4b+3)\)
6. \((q-8)(q+5)+(5q-5)(q-8)\\=(q-8)(q+5+5q-5)\\=(q-8)(6q+0)\)
7. \((3a+4)^2+(15a+20)\\=(3a+4)(3a+4)+5(3a+4)\\=(3a+9)(3a+4)\)
8. \((8p+1)^2-(32p+4)\\=(8p+1)(8p+1)-4(8p+1)\\=(8p-3)(8p+1)\)
9. \((y-1)(y-9)+(4y-1)(y-1)\\=(y-1)(y-9+4y-1)\\=(y-1)(5y-10)\)
10. \((5y-2)^2-(10y-4)\\=(5y-2)(5y-2)-2(5y-2)\\=(5y-4)(5y-2)\)
11. \((7q-8)(q-4)+(7q-8)(2q-1)\\=(7q-8)(q-4+2q-1)\\=(7q-8)(3q-5)\)
12. \((3s+1)^2+(6s+2)\\=(3s+1)(3s+1)+2(3s+1)\\=(3s+3)(3s+1)\)