Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((q+1)(q+2)+(3q+9)(q+1)\)
2. \((p-8)(p+3)-(2p+5)(p-8)\)
3. \((8b+1)^2-(16b+2)\)
4. \((2y+1)^2-(4y+2)\)
5. \((x-3)(x-4)-(5x+5)(x-3)\)
6. \((7s-4)(s+6)-(7s-4)(2s+7)\)
7. \((7p+3)(p+9)+(7p+3)(4p+7)\)
8. \((6b-9)(b+5)+(6b-9)(5b+7)\)
9. \((3b-8)^2+(12b-32)\)
10. \((6s-7)(s+8)-(6s-7)(5s+5)\)
11. \((6q-7)(q+2)+(6q-7)(5q-9)\)
12. \((a+6)^2+(4a+24)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((q+1)(q+2)+(3q+9)(q+1)\\=(q+1)(q+2+3q+9)\\=(q+1)(4q+11)\)
2. \((p-8)(p+3)-(2p+5)(p-8)\\=(p-8)(p+3-2p-5)\\=(p-8)(-p-2)\)
3. \((8b+1)^2-(16b+2)\\=(8b+1)(8b+1)-2(8b+1)\\=(8b-1)(8b+1)\)
4. \((2y+1)^2-(4y+2)\\=(2y+1)(2y+1)-2(2y+1)\\=(2y-1)(2y+1)\)
5. \((x-3)(x-4)-(5x+5)(x-3)\\=(x-3)(x-4-5x-5)\\=(x-3)(-4x-9)\)
6. \((7s-4)(s+6)-(7s-4)(2s+7)\\=(7s-4)(s+6-2s-7)\\=(7s-4)(-s-1)\)
7. \((7p+3)(p+9)+(7p+3)(4p+7)\\=(7p+3)(p+9+4p+7)\\=(7p+3)(5p+16)\)
8. \((6b-9)(b+5)+(6b-9)(5b+7)\\=(6b-9)(b+5+5b+7)\\=(6b-9)(6b+12)\)
9. \((3b-8)^2+(12b-32)\\=(3b-8)(3b-8)+4(3b-8)\\=(3b-4)(3b-8)\)
10. \((6s-7)(s+8)-(6s-7)(5s+5)\\=(6s-7)(s+8-5s-5)\\=(6s-7)(-4s+3)\)
11. \((6q-7)(q+2)+(6q-7)(5q-9)\\=(6q-7)(q+2+5q-9)\\=(6q-7)(6q-7)\)
12. \((a+6)^2+(4a+24)\\=(a+6)(a+6)+4(a+6)\\=(a+10)(a+6)\)