Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3p+9)(p+2)+(3p+9)(2p+7)\)
2. \((a-3)(a+9)+(3a+6)(a-3)\)
3. \((7y+5)(y-3)+(7y+5)(2y-9)\)
4. \((5p+2)(p-7)+(5p+2)(4p+5)\)
5. \((b-6)(b+4)+(5b-2)(b-6)\)
6. \((p+5)(p+4)-(2p+7)(p+5)\)
7. \((y+0)^2-(4y+0)\)
8. \((6a+1)^2-(12a+2)\)
9. \((8b+6)(b-5)-(8b+6)(3b+3)\)
10. \((6p-5)^2-(12p-10)\)
11. \((8y-7)^2-(32y-28)\)
12. \((5p+4)^2-(15p+12)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3p+9)(p+2)+(3p+9)(2p+7)\\=(3p+9)(p+2+2p+7)\\=(3p+9)(3p+9)\)
2. \((a-3)(a+9)+(3a+6)(a-3)\\=(a-3)(a+9+3a+6)\\=(a-3)(4a+15)\)
3. \((7y+5)(y-3)+(7y+5)(2y-9)\\=(7y+5)(y-3+2y-9)\\=(7y+5)(3y-12)\)
4. \((5p+2)(p-7)+(5p+2)(4p+5)\\=(5p+2)(p-7+4p+5)\\=(5p+2)(5p-2)\)
5. \((b-6)(b+4)+(5b-2)(b-6)\\=(b-6)(b+4+5b-2)\\=(b-6)(6b+2)\)
6. \((p+5)(p+4)-(2p+7)(p+5)\\=(p+5)(p+4-2p-7)\\=(p+5)(-p-3)\)
7. \((y+0)^2-(4y+0)\\=(y+0)(y+0)-4(y+0)\\=(y-4)(y+0)\)
8. \((6a+1)^2-(12a+2)\\=(6a+1)(6a+1)-2(6a+1)\\=(6a-1)(6a+1)\)
9. \((8b+6)(b-5)-(8b+6)(3b+3)\\=(8b+6)(b-5-3b-3)\\=(8b+6)(-2b-8)\)
10. \((6p-5)^2-(12p-10)\\=(6p-5)(6p-5)-2(6p-5)\\=(6p-7)(6p-5)\)
11. \((8y-7)^2-(32y-28)\\=(8y-7)(8y-7)-4(8y-7)\\=(8y-11)(8y-7)\)
12. \((5p+4)^2-(15p+12)\\=(5p+4)(5p+4)-3(5p+4)\\=(5p+1)(5p+4)\)