Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((4b-3)^2-(16b-12)\)
2. \((8x+1)(x-1)+(8x+1)(3x+9)\)
3. \((6q-5)^2-(18q-15)\)
4. \((8q+1)^2+(40q+5)\)
5. \((4p+7)^2-(12p+21)\)
6. \((9p-4)^2-(18p-8)\)
7. \((6q+5)^2-(12q+10)\)
8. \((5a-4)^2-(10a-8)\)
9. \((y-9)(y+9)+(5y-4)(y-9)\)
10. \((8y-9)(y+6)-(8y-9)(3y+8)\)
11. \((a+3)(a-5)-(2a-7)(a+3)\)
12. \((y+4)(y+7)+(3y-8)(y+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((4b-3)^2-(16b-12)\\=(4b-3)(4b-3)-4(4b-3)\\=(4b-7)(4b-3)\)
2. \((8x+1)(x-1)+(8x+1)(3x+9)\\=(8x+1)(x-1+3x+9)\\=(8x+1)(4x+8)\)
3. \((6q-5)^2-(18q-15)\\=(6q-5)(6q-5)-3(6q-5)\\=(6q-8)(6q-5)\)
4. \((8q+1)^2+(40q+5)\\=(8q+1)(8q+1)+5(8q+1)\\=(8q+6)(8q+1)\)
5. \((4p+7)^2-(12p+21)\\=(4p+7)(4p+7)-3(4p+7)\\=(4p+4)(4p+7)\)
6. \((9p-4)^2-(18p-8)\\=(9p-4)(9p-4)-2(9p-4)\\=(9p-6)(9p-4)\)
7. \((6q+5)^2-(12q+10)\\=(6q+5)(6q+5)-2(6q+5)\\=(6q+3)(6q+5)\)
8. \((5a-4)^2-(10a-8)\\=(5a-4)(5a-4)-2(5a-4)\\=(5a-6)(5a-4)\)
9. \((y-9)(y+9)+(5y-4)(y-9)\\=(y-9)(y+9+5y-4)\\=(y-9)(6y+5)\)
10. \((8y-9)(y+6)-(8y-9)(3y+8)\\=(8y-9)(y+6-3y-8)\\=(8y-9)(-2y-2)\)
11. \((a+3)(a-5)-(2a-7)(a+3)\\=(a+3)(a-5-2a+7)\\=(a+3)(-a+2)\)
12. \((y+4)(y+7)+(3y-8)(y+4)\\=(y+4)(y+7+3y-8)\\=(y+4)(4y-1)\)