Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((y+5)(y-2)+(3y-3)(y+5)\\=(y+5)(y-2+3y-3)\\=(y+5)(4y-5)\)
2. \((3q-8)(q-9)+(3q-8)(2q-3)\\=(3q-8)(q-9+2q-3)\\=(3q-8)(3q-12)\)
3. \((5x-5)(x+4)+(5x-5)(4x+9)\\=(5x-5)(x+4+4x+9)\\=(5x-5)(5x+13)\)
4. \((4a-3)^2-(16a-12)\\=(4a-3)(4a-3)-4(4a-3)\\=(4a-7)(4a-3)\)
5. \((s-8)(s+4)+(5s-7)(s-8)\\=(s-8)(s+4+5s-7)\\=(s-8)(6s-3)\)
6. \((y+1)(y+8)+(4y-3)(y+1)\\=(y+1)(y+8+4y-3)\\=(y+1)(5y+5)\)
7. \((6x-5)^2-(18x-15)\\=(6x-5)(6x-5)-3(6x-5)\\=(6x-8)(6x-5)\)
8. \((3x+2)^2+(6x+4)\\=(3x+2)(3x+2)+2(3x+2)\\=(3x+4)(3x+2)\)
9. \((8q+5)^2-(16q+10)\\=(8q+5)(8q+5)-2(8q+5)\\=(8q+3)(8q+5)\)
10. \((q-2)(q+5)+(5q+4)(q-2)\\=(q-2)(q+5+5q+4)\\=(q-2)(6q+9)\)
11. \((3p+6)(p-5)+(3p+6)(2p-5)\\=(3p+6)(p-5+2p-5)\\=(3p+6)(3p-10)\)
12. \((6x+5)^2-(12x+10)\\=(6x+5)(6x+5)-2(6x+5)\\=(6x+3)(6x+5)\)