Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3a-7)(a+7)+(3a-7)(5a+2)\)
2. \((2a+1)^2+(10a+5)\)
3. \((a+5)^2+(5a+25)\)
4. \((8y+1)^2+(40y+5)\)
5. \((5b+9)(b+5)+(5b+9)(4b-5)\)
6. \((7s-8)(s+6)+(7s-8)(3s-6)\)
7. \((3b-1)(b-7)+(3b-1)(2b+8)\)
8. \((7q-5)(q+6)+(7q-5)(2q-6)\)
9. \((s-3)(s-5)+(3s+1)(s-3)\)
10. \((s+7)(s-5)+(5s+5)(s+7)\)
11. \((7s+8)(s+6)-(7s+8)(4s-2)\)
12. \((5b-4)^2+(10b-8)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3a-7)(a+7)+(3a-7)(5a+2)\\=(3a-7)(a+7+5a+2)\\=(3a-7)(6a+9)\)
2. \((2a+1)^2+(10a+5)\\=(2a+1)(2a+1)+5(2a+1)\\=(2a+6)(2a+1)\)
3. \((a+5)^2+(5a+25)\\=(a+5)(a+5)+5(a+5)\\=(a+10)(a+5)\)
4. \((8y+1)^2+(40y+5)\\=(8y+1)(8y+1)+5(8y+1)\\=(8y+6)(8y+1)\)
5. \((5b+9)(b+5)+(5b+9)(4b-5)\\=(5b+9)(b+5+4b-5)\\=(5b+9)(5b+0)\)
6. \((7s-8)(s+6)+(7s-8)(3s-6)\\=(7s-8)(s+6+3s-6)\\=(7s-8)(4s+0)\)
7. \((3b-1)(b-7)+(3b-1)(2b+8)\\=(3b-1)(b-7+2b+8)\\=(3b-1)(3b+1)\)
8. \((7q-5)(q+6)+(7q-5)(2q-6)\\=(7q-5)(q+6+2q-6)\\=(7q-5)(3q+0)\)
9. \((s-3)(s-5)+(3s+1)(s-3)\\=(s-3)(s-5+3s+1)\\=(s-3)(4s-4)\)
10. \((s+7)(s-5)+(5s+5)(s+7)\\=(s+7)(s-5+5s+5)\\=(s+7)(6s+0)\)
11. \((7s+8)(s+6)-(7s+8)(4s-2)\\=(7s+8)(s+6-4s+2)\\=(7s+8)(-3s+8)\)
12. \((5b-4)^2+(10b-8)\\=(5b-4)(5b-4)+2(5b-4)\\=(5b-2)(5b-4)\)