Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((2p+1)^2-(6p+3)\)
2. \((9y+1)^2+(18y+2)\)
3. \((5b+1)(b-8)+(5b+1)(2b+5)\)
4. \((4s+3)(s+6)+(4s+3)(3s-6)\)
5. \((4s-3)^2+(8s-6)\)
6. \((8x+1)^2-(40x+5)\)
7. \((a-2)(a-7)+(2a-4)(a-2)\)
8. \((3q-3)(q+5)+(3q-3)(4q+6)\)
9. \((7x-9)^2+(28x-36)\)
10. \((9b+4)^2-(45b+20)\)
11. \((7x+2)^2-(21x+6)\)
12. \((5y+7)^2+(10y+14)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((2p+1)^2-(6p+3)\\=(2p+1)(2p+1)-3(2p+1)\\=(2p-2)(2p+1)\)
2. \((9y+1)^2+(18y+2)\\=(9y+1)(9y+1)+2(9y+1)\\=(9y+3)(9y+1)\)
3. \((5b+1)(b-8)+(5b+1)(2b+5)\\=(5b+1)(b-8+2b+5)\\=(5b+1)(3b-3)\)
4. \((4s+3)(s+6)+(4s+3)(3s-6)\\=(4s+3)(s+6+3s-6)\\=(4s+3)(4s+0)\)
5. \((4s-3)^2+(8s-6)\\=(4s-3)(4s-3)+2(4s-3)\\=(4s-1)(4s-3)\)
6. \((8x+1)^2-(40x+5)\\=(8x+1)(8x+1)-5(8x+1)\\=(8x-4)(8x+1)\)
7. \((a-2)(a-7)+(2a-4)(a-2)\\=(a-2)(a-7+2a-4)\\=(a-2)(3a-11)\)
8. \((3q-3)(q+5)+(3q-3)(4q+6)\\=(3q-3)(q+5+4q+6)\\=(3q-3)(5q+11)\)
9. \((7x-9)^2+(28x-36)\\=(7x-9)(7x-9)+4(7x-9)\\=(7x-5)(7x-9)\)
10. \((9b+4)^2-(45b+20)\\=(9b+4)(9b+4)-5(9b+4)\\=(9b-1)(9b+4)\)
11. \((7x+2)^2-(21x+6)\\=(7x+2)(7x+2)-3(7x+2)\\=(7x-1)(7x+2)\)
12. \((5y+7)^2+(10y+14)\\=(5y+7)(5y+7)+2(5y+7)\\=(5y+9)(5y+7)\)