Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((8p+1)^2-(24p+3)\)
2. \((7b+9)(b-7)-(7b+9)(4b+8)\)
3. \((s-1)(s+9)+(3s+5)(s-1)\)
4. \((x+5)(x+9)+(3x-3)(x+5)\)
5. \((3p+8)(p-2)-(3p+8)(2p-3)\)
6. \((9b+1)^2+(45b+5)\)
7. \((8y-5)^2+(24y-15)\)
8. \((6a+7)(a-4)+(6a+7)(5a-5)\)
9. \((3q+1)(q-8)-(3q+1)(4q-9)\)
10. \((x+2)(x-3)-(3x-4)(x+2)\)
11. \((b+5)^2-(3b+15)\)
12. \((9y-8)^2-(18y-16)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((8p+1)^2-(24p+3)\\=(8p+1)(8p+1)-3(8p+1)\\=(8p-2)(8p+1)\)
2. \((7b+9)(b-7)-(7b+9)(4b+8)\\=(7b+9)(b-7-4b-8)\\=(7b+9)(-3b-15)\)
3. \((s-1)(s+9)+(3s+5)(s-1)\\=(s-1)(s+9+3s+5)\\=(s-1)(4s+14)\)
4. \((x+5)(x+9)+(3x-3)(x+5)\\=(x+5)(x+9+3x-3)\\=(x+5)(4x+6)\)
5. \((3p+8)(p-2)-(3p+8)(2p-3)\\=(3p+8)(p-2-2p+3)\\=(3p+8)(-p+1)\)
6. \((9b+1)^2+(45b+5)\\=(9b+1)(9b+1)+5(9b+1)\\=(9b+6)(9b+1)\)
7. \((8y-5)^2+(24y-15)\\=(8y-5)(8y-5)+3(8y-5)\\=(8y-2)(8y-5)\)
8. \((6a+7)(a-4)+(6a+7)(5a-5)\\=(6a+7)(a-4+5a-5)\\=(6a+7)(6a-9)\)
9. \((3q+1)(q-8)-(3q+1)(4q-9)\\=(3q+1)(q-8-4q+9)\\=(3q+1)(-3q+1)\)
10. \((x+2)(x-3)-(3x-4)(x+2)\\=(x+2)(x-3-3x+4)\\=(x+2)(-2x+1)\)
11. \((b+5)^2-(3b+15)\\=(b+5)(b+5)-3(b+5)\\=(b+2)(b+5)\)
12. \((9y-8)^2-(18y-16)\\=(9y-8)(9y-8)-2(9y-8)\\=(9y-10)(9y-8)\)