Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5b-1)(b-6)-(5b-1)(3b-1)\)
2. \((p+7)(p-3)+(2p+7)(p+7)\)
3. \((3x+1)(x+4)+(3x+1)(2x+6)\)
4. \((a-4)(a-6)+(2a-6)(a-4)\)
5. \((7p+9)(p+2)+(7p+9)(3p-6)\)
6. \((8y-7)^2-(16y-14)\)
7. \((y-6)(y-7)+(2y+2)(y-6)\)
8. \((7a-7)(a+9)-(7a-7)(4a-9)\)
9. \((y+9)^2+(4y+36)\)
10. \((5b-1)(b-9)+(5b-1)(3b+9)\)
11. \((b+2)(b+4)-(5b-9)(b+2)\)
12. \((9x+2)^2+(36x+8)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5b-1)(b-6)-(5b-1)(3b-1)\\=(5b-1)(b-6-3b+1)\\=(5b-1)(-2b-5)\)
2. \((p+7)(p-3)+(2p+7)(p+7)\\=(p+7)(p-3+2p+7)\\=(p+7)(3p+4)\)
3. \((3x+1)(x+4)+(3x+1)(2x+6)\\=(3x+1)(x+4+2x+6)\\=(3x+1)(3x+10)\)
4. \((a-4)(a-6)+(2a-6)(a-4)\\=(a-4)(a-6+2a-6)\\=(a-4)(3a-12)\)
5. \((7p+9)(p+2)+(7p+9)(3p-6)\\=(7p+9)(p+2+3p-6)\\=(7p+9)(4p-4)\)
6. \((8y-7)^2-(16y-14)\\=(8y-7)(8y-7)-2(8y-7)\\=(8y-9)(8y-7)\)
7. \((y-6)(y-7)+(2y+2)(y-6)\\=(y-6)(y-7+2y+2)\\=(y-6)(3y-5)\)
8. \((7a-7)(a+9)-(7a-7)(4a-9)\\=(7a-7)(a+9-4a+9)\\=(7a-7)(-3a+18)\)
9. \((y+9)^2+(4y+36)\\=(y+9)(y+9)+4(y+9)\\=(y+13)(y+9)\)
10. \((5b-1)(b-9)+(5b-1)(3b+9)\\=(5b-1)(b-9+3b+9)\\=(5b-1)(4b+0)\)
11. \((b+2)(b+4)-(5b-9)(b+2)\\=(b+2)(b+4-5b+9)\\=(b+2)(-4b+13)\)
12. \((9x+2)^2+(36x+8)\\=(9x+2)(9x+2)+4(9x+2)\\=(9x+6)(9x+2)\)