Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((y-9)(y-5)+(5y+5)(y-9)\)
2. \((4y-3)^2+(12y-9)\)
3. \((q+9)(q+4)-(5q-6)(q+9)\)
4. \((2y+1)^2+(8y+4)\)
5. \((7y+1)^2-(21y+3)\)
6. \((4b+3)^2+(16b+12)\)
7. \((p+8)(p-5)-(3p+5)(p+8)\)
8. \((6b+1)^2+(18b+3)\)
9. \((q-8)(q-1)-(4q-5)(q-8)\)
10. \((6y+2)(y+4)+(6y+2)(5y+3)\)
11. \((4b+3)(b-3)-(4b+3)(3b-2)\)
12. \((4q+7)(q+2)-(4q+7)(3q-1)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((y-9)(y-5)+(5y+5)(y-9)\\=(y-9)(y-5+5y+5)\\=(y-9)(6y+0)\)
2. \((4y-3)^2+(12y-9)\\=(4y-3)(4y-3)+3(4y-3)\\=(4y+0)(4y-3)\)
3. \((q+9)(q+4)-(5q-6)(q+9)\\=(q+9)(q+4-5q+6)\\=(q+9)(-4q+10)\)
4. \((2y+1)^2+(8y+4)\\=(2y+1)(2y+1)+4(2y+1)\\=(2y+5)(2y+1)\)
5. \((7y+1)^2-(21y+3)\\=(7y+1)(7y+1)-3(7y+1)\\=(7y-2)(7y+1)\)
6. \((4b+3)^2+(16b+12)\\=(4b+3)(4b+3)+4(4b+3)\\=(4b+7)(4b+3)\)
7. \((p+8)(p-5)-(3p+5)(p+8)\\=(p+8)(p-5-3p-5)\\=(p+8)(-2p-10)\)
8. \((6b+1)^2+(18b+3)\\=(6b+1)(6b+1)+3(6b+1)\\=(6b+4)(6b+1)\)
9. \((q-8)(q-1)-(4q-5)(q-8)\\=(q-8)(q-1-4q+5)\\=(q-8)(-3q+4)\)
10. \((6y+2)(y+4)+(6y+2)(5y+3)\\=(6y+2)(y+4+5y+3)\\=(6y+2)(6y+7)\)
11. \((4b+3)(b-3)-(4b+3)(3b-2)\\=(4b+3)(b-3-3b+2)\\=(4b+3)(-2b-1)\)
12. \((4q+7)(q+2)-(4q+7)(3q-1)\\=(4q+7)(q+2-3q+1)\\=(4q+7)(-2q+3)\)