Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((7y-6)(y-4)+(7y-6)(5y+6)\)
2. \((y+9)(y+4)+(2y+8)(y+9)\)
3. \((3q+3)(q-5)+(3q+3)(4q+9)\)
4. \((8q+1)(q-8)+(8q+1)(3q-4)\)
5. \((5p-6)(p-3)-(5p-6)(2p+9)\)
6. \((8q-5)^2-(24q-15)\)
7. \((6b+6)(b-4)-(6b+6)(5b+7)\)
8. \((q-7)(q-3)-(3q+4)(q-7)\)
9. \((3y+5)(y-4)-(3y+5)(2y+1)\)
10. \((y-1)(y+6)+(4y+5)(y-1)\)
11. \((q-6)(q+1)+(5q-8)(q-6)\)
12. \((3a-5)^2+(12a-20)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((7y-6)(y-4)+(7y-6)(5y+6)\\=(7y-6)(y-4+5y+6)\\=(7y-6)(6y+2)\)
2. \((y+9)(y+4)+(2y+8)(y+9)\\=(y+9)(y+4+2y+8)\\=(y+9)(3y+12)\)
3. \((3q+3)(q-5)+(3q+3)(4q+9)\\=(3q+3)(q-5+4q+9)\\=(3q+3)(5q+4)\)
4. \((8q+1)(q-8)+(8q+1)(3q-4)\\=(8q+1)(q-8+3q-4)\\=(8q+1)(4q-12)\)
5. \((5p-6)(p-3)-(5p-6)(2p+9)\\=(5p-6)(p-3-2p-9)\\=(5p-6)(-p-12)\)
6. \((8q-5)^2-(24q-15)\\=(8q-5)(8q-5)-3(8q-5)\\=(8q-8)(8q-5)\)
7. \((6b+6)(b-4)-(6b+6)(5b+7)\\=(6b+6)(b-4-5b-7)\\=(6b+6)(-4b-11)\)
8. \((q-7)(q-3)-(3q+4)(q-7)\\=(q-7)(q-3-3q-4)\\=(q-7)(-2q-7)\)
9. \((3y+5)(y-4)-(3y+5)(2y+1)\\=(3y+5)(y-4-2y-1)\\=(3y+5)(-y-5)\)
10. \((y-1)(y+6)+(4y+5)(y-1)\\=(y-1)(y+6+4y+5)\\=(y-1)(5y+11)\)
11. \((q-6)(q+1)+(5q-8)(q-6)\\=(q-6)(q+1+5q-8)\\=(q-6)(6q-7)\)
12. \((3a-5)^2+(12a-20)\\=(3a-5)(3a-5)+4(3a-5)\\=(3a-1)(3a-5)\)