Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((x+6)^2-(5x+30)\)
2. \((7s-1)(s+1)+(7s-1)(4s-6)\)
3. \((8p+3)^2-(16p+6)\)
4. \((7y+2)^2+(14y+4)\)
5. \((q+4)(q-3)+(5q+6)(q+4)\)
6. \((s-7)(s-4)+(2s-9)(s-7)\)
7. \((5s-7)(s+4)-(5s-7)(4s+6)\)
8. \((5s+1)(s+1)+(5s+1)(4s-8)\)
9. \((5y-9)(y+3)+(5y-9)(2y-7)\)
10. \((9q-5)(q+3)-(9q-5)(4q+3)\)
11. \((8s+9)^2+(16s+18)\)
12. \((b-2)(b+9)+(5b+8)(b-2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((x+6)^2-(5x+30)\\=(x+6)(x+6)-5(x+6)\\=(x+1)(x+6)\)
2. \((7s-1)(s+1)+(7s-1)(4s-6)\\=(7s-1)(s+1+4s-6)\\=(7s-1)(5s-5)\)
3. \((8p+3)^2-(16p+6)\\=(8p+3)(8p+3)-2(8p+3)\\=(8p+1)(8p+3)\)
4. \((7y+2)^2+(14y+4)\\=(7y+2)(7y+2)+2(7y+2)\\=(7y+4)(7y+2)\)
5. \((q+4)(q-3)+(5q+6)(q+4)\\=(q+4)(q-3+5q+6)\\=(q+4)(6q+3)\)
6. \((s-7)(s-4)+(2s-9)(s-7)\\=(s-7)(s-4+2s-9)\\=(s-7)(3s-13)\)
7. \((5s-7)(s+4)-(5s-7)(4s+6)\\=(5s-7)(s+4-4s-6)\\=(5s-7)(-3s-2)\)
8. \((5s+1)(s+1)+(5s+1)(4s-8)\\=(5s+1)(s+1+4s-8)\\=(5s+1)(5s-7)\)
9. \((5y-9)(y+3)+(5y-9)(2y-7)\\=(5y-9)(y+3+2y-7)\\=(5y-9)(3y-4)\)
10. \((9q-5)(q+3)-(9q-5)(4q+3)\\=(9q-5)(q+3-4q-3)\\=(9q-5)(-3q+0)\)
11. \((8s+9)^2+(16s+18)\\=(8s+9)(8s+9)+2(8s+9)\\=(8s+11)(8s+9)\)
12. \((b-2)(b+9)+(5b+8)(b-2)\\=(b-2)(b+9+5b+8)\\=(b-2)(6b+17)\)