Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5x+1)^2+(10x+2)\)
2. \((q-2)(q+1)-(4q+4)(q-2)\)
3. \((8b-7)^2+(40b-35)\)
4. \((3q-5)(q-4)+(3q-5)(4q+1)\)
5. \((s-2)(s-6)-(3s-1)(s-2)\)
6. \((7y+4)(y+3)-(7y+4)(4y-2)\)
7. \((6q+5)^2-(30q+25)\)
8. \((s-3)(s+6)+(2s+2)(s-3)\)
9. \((7y+2)^2-(21y+6)\)
10. \((2p+8)(p-7)-(2p+8)(5p+9)\)
11. \((2x+1)^2+(10x+5)\)
12. \((7a+3)^2+(14a+6)\)

---

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5x+1)^2+(10x+2)\\=(5x+1)(5x+1)+2(5x+1)\\=(5x+3)(5x+1)\)
2. \((q-2)(q+1)-(4q+4)(q-2)\\=(q-2)(q+1-4q-4)\\=(q-2)(-3q-3)\)
3. \((8b-7)^2+(40b-35)\\=(8b-7)(8b-7)+5(8b-7)\\=(8b-2)(8b-7)\)
4. \((3q-5)(q-4)+(3q-5)(4q+1)\\=(3q-5)(q-4+4q+1)\\=(3q-5)(5q-3)\)
5. \((s-2)(s-6)-(3s-1)(s-2)\\=(s-2)(s-6-3s+1)\\=(s-2)(-2s-5)\)
6. \((7y+4)(y+3)-(7y+4)(4y-2)\\=(7y+4)(y+3-4y+2)\\=(7y+4)(-3y+5)\)
7. \((6q+5)^2-(30q+25)\\=(6q+5)(6q+5)-5(6q+5)\\=(6q+0)(6q+5)\)
8. \((s-3)(s+6)+(2s+2)(s-3)\\=(s-3)(s+6+2s+2)\\=(s-3)(3s+8)\)
9. \((7y+2)^2-(21y+6)\\=(7y+2)(7y+2)-3(7y+2)\\=(7y-1)(7y+2)\)
10. \((2p+8)(p-7)-(2p+8)(5p+9)\\=(2p+8)(p-7-5p-9)\\=(2p+8)(-4p-16)\)
11. \((2x+1)^2+(10x+5)\\=(2x+1)(2x+1)+5(2x+1)\\=(2x+6)(2x+1)\)
12. \((7a+3)^2+(14a+6)\\=(7a+3)(7a+3)+2(7a+3)\\=(7a+5)(7a+3)\)