Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3b-9)(b+5)-(3b-9)(4b+2)\)
2. \((2p+7)^2-(8p+28)\)
3. \((y-3)^2-(3y-9)\)
4. \((3y+7)(y+7)-(3y+7)(2y-7)\)
5. \((4x+1)^2+(20x+5)\)
6. \((6a+5)^2-(12a+10)\)
7. \((9y-2)^2-(18y-4)\)
8. \((3b-8)(b+3)-(3b-8)(4b-2)\)
9. \((7p+1)^2-(35p+5)\)
10. \((3x-9)(x-4)+(3x-9)(4x+6)\)
11. \((4s-7)^2-(16s-28)\)
12. \((8b-5)^2+(16b-10)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3b-9)(b+5)-(3b-9)(4b+2)\\=(3b-9)(b+5-4b-2)\\=(3b-9)(-3b+3)\)
2. \((2p+7)^2-(8p+28)\\=(2p+7)(2p+7)-4(2p+7)\\=(2p+3)(2p+7)\)
3. \((y-3)^2-(3y-9)\\=(y-3)(y-3)-3(y-3)\\=(y-6)(y-3)\)
4. \((3y+7)(y+7)-(3y+7)(2y-7)\\=(3y+7)(y+7-2y+7)\\=(3y+7)(-y+14)\)
5. \((4x+1)^2+(20x+5)\\=(4x+1)(4x+1)+5(4x+1)\\=(4x+6)(4x+1)\)
6. \((6a+5)^2-(12a+10)\\=(6a+5)(6a+5)-2(6a+5)\\=(6a+3)(6a+5)\)
7. \((9y-2)^2-(18y-4)\\=(9y-2)(9y-2)-2(9y-2)\\=(9y-4)(9y-2)\)
8. \((3b-8)(b+3)-(3b-8)(4b-2)\\=(3b-8)(b+3-4b+2)\\=(3b-8)(-3b+5)\)
9. \((7p+1)^2-(35p+5)\\=(7p+1)(7p+1)-5(7p+1)\\=(7p-4)(7p+1)\)
10. \((3x-9)(x-4)+(3x-9)(4x+6)\\=(3x-9)(x-4+4x+6)\\=(3x-9)(5x+2)\)
11. \((4s-7)^2-(16s-28)\\=(4s-7)(4s-7)-4(4s-7)\\=(4s-11)(4s-7)\)
12. \((8b-5)^2+(16b-10)\\=(8b-5)(8b-5)+2(8b-5)\\=(8b-3)(8b-5)\)