Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((p-8)(p+7)+(2p-3)(p-8)\)
2. \((a-1)(a-6)+(2a+2)(a-1)\)
3. \((b-9)(b+9)+(4b-9)(b-9)\)
4. \((8y-7)^2-(24y-21)\)
5. \((s+9)^2-(5s+45)\)
6. \((5a+7)(a-2)+(5a+7)(4a-4)\)
7. \((2x+1)^2-(10x+5)\)
8. \((5b-2)^2+(10b-4)\)
9. \((4p-4)(p-3)-(4p-4)(3p-8)\)
10. \((3y+1)(y+4)-(3y+1)(4y-2)\)
11. \((7s-7)(s-2)+(7s-7)(4s-7)\)
12. \((7s+8)^2+(14s+16)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((p-8)(p+7)+(2p-3)(p-8)\\=(p-8)(p+7+2p-3)\\=(p-8)(3p+4)\)
2. \((a-1)(a-6)+(2a+2)(a-1)\\=(a-1)(a-6+2a+2)\\=(a-1)(3a-4)\)
3. \((b-9)(b+9)+(4b-9)(b-9)\\=(b-9)(b+9+4b-9)\\=(b-9)(5b+0)\)
4. \((8y-7)^2-(24y-21)\\=(8y-7)(8y-7)-3(8y-7)\\=(8y-10)(8y-7)\)
5. \((s+9)^2-(5s+45)\\=(s+9)(s+9)-5(s+9)\\=(s+4)(s+9)\)
6. \((5a+7)(a-2)+(5a+7)(4a-4)\\=(5a+7)(a-2+4a-4)\\=(5a+7)(5a-6)\)
7. \((2x+1)^2-(10x+5)\\=(2x+1)(2x+1)-5(2x+1)\\=(2x-4)(2x+1)\)
8. \((5b-2)^2+(10b-4)\\=(5b-2)(5b-2)+2(5b-2)\\=(5b+0)(5b-2)\)
9. \((4p-4)(p-3)-(4p-4)(3p-8)\\=(4p-4)(p-3-3p+8)\\=(4p-4)(-2p+5)\)
10. \((3y+1)(y+4)-(3y+1)(4y-2)\\=(3y+1)(y+4-4y+2)\\=(3y+1)(-3y+6)\)
11. \((7s-7)(s-2)+(7s-7)(4s-7)\\=(7s-7)(s-2+4s-7)\\=(7s-7)(5s-9)\)
12. \((7s+8)^2+(14s+16)\\=(7s+8)(7s+8)+2(7s+8)\\=(7s+10)(7s+8)\)