Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5p+7)(p+2)+(5p+7)(2p+4)\)
2. \((y-1)(y+6)+(4y+6)(y-1)\)
3. \((a-3)(a-7)+(5a+2)(a-3)\)
4. \((3p+5)(p+9)+(3p+5)(5p-6)\)
5. \((3q-2)(q+2)-(3q-2)(2q-9)\)
6. \((2p-5)(p+3)+(2p-5)(3p-6)\)
7. \((7q+6)(q-3)+(7q+6)(4q-6)\)
8. \((5q+6)(q+8)+(5q+6)(4q-7)\)
9. \((6a-5)^2-(12a-10)\)
10. \((7a+2)^2+(21a+6)\)
11. \((4y-5)(y-6)+(4y-5)(5y-1)\)
12. \((b-6)(b-4)-(2b-6)(b-6)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5p+7)(p+2)+(5p+7)(2p+4)\\=(5p+7)(p+2+2p+4)\\=(5p+7)(3p+6)\)
2. \((y-1)(y+6)+(4y+6)(y-1)\\=(y-1)(y+6+4y+6)\\=(y-1)(5y+12)\)
3. \((a-3)(a-7)+(5a+2)(a-3)\\=(a-3)(a-7+5a+2)\\=(a-3)(6a-5)\)
4. \((3p+5)(p+9)+(3p+5)(5p-6)\\=(3p+5)(p+9+5p-6)\\=(3p+5)(6p+3)\)
5. \((3q-2)(q+2)-(3q-2)(2q-9)\\=(3q-2)(q+2-2q+9)\\=(3q-2)(-q+11)\)
6. \((2p-5)(p+3)+(2p-5)(3p-6)\\=(2p-5)(p+3+3p-6)\\=(2p-5)(4p-3)\)
7. \((7q+6)(q-3)+(7q+6)(4q-6)\\=(7q+6)(q-3+4q-6)\\=(7q+6)(5q-9)\)
8. \((5q+6)(q+8)+(5q+6)(4q-7)\\=(5q+6)(q+8+4q-7)\\=(5q+6)(5q+1)\)
9. \((6a-5)^2-(12a-10)\\=(6a-5)(6a-5)-2(6a-5)\\=(6a-7)(6a-5)\)
10. \((7a+2)^2+(21a+6)\\=(7a+2)(7a+2)+3(7a+2)\\=(7a+5)(7a+2)\)
11. \((4y-5)(y-6)+(4y-5)(5y-1)\\=(4y-5)(y-6+5y-1)\\=(4y-5)(6y-7)\)
12. \((b-6)(b-4)-(2b-6)(b-6)\\=(b-6)(b-4-2b+6)\\=(b-6)(-b+2)\)