Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3s-5)^2-(12s-20)\)
2. \((q-7)(q-4)+(5q+6)(q-7)\)
3. \((5x-6)(x-6)-(5x-6)(2x-8)\)
4. \((4y-4)(y+3)-(4y-4)(5y+1)\)
5. \((9s-8)^2+(27s-24)\)
6. \((5b-8)(b-8)+(5b-8)(2b+1)\)
7. \((7s+1)^2-(21s+3)\)
8. \((8s-5)^2-(16s-10)\)
9. \((5b-7)(b+5)+(5b-7)(2b+5)\)
10. \((6s-5)^2-(18s-15)\)
11. \((3p-2)(p+5)+(3p-2)(2p+2)\)
12. \((7b+9)(b-6)-(7b+9)(5b-2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3s-5)^2-(12s-20)\\=(3s-5)(3s-5)-4(3s-5)\\=(3s-9)(3s-5)\)
2. \((q-7)(q-4)+(5q+6)(q-7)\\=(q-7)(q-4+5q+6)\\=(q-7)(6q+2)\)
3. \((5x-6)(x-6)-(5x-6)(2x-8)\\=(5x-6)(x-6-2x+8)\\=(5x-6)(-x+2)\)
4. \((4y-4)(y+3)-(4y-4)(5y+1)\\=(4y-4)(y+3-5y-1)\\=(4y-4)(-4y+2)\)
5. \((9s-8)^2+(27s-24)\\=(9s-8)(9s-8)+3(9s-8)\\=(9s-5)(9s-8)\)
6. \((5b-8)(b-8)+(5b-8)(2b+1)\\=(5b-8)(b-8+2b+1)\\=(5b-8)(3b-7)\)
7. \((7s+1)^2-(21s+3)\\=(7s+1)(7s+1)-3(7s+1)\\=(7s-2)(7s+1)\)
8. \((8s-5)^2-(16s-10)\\=(8s-5)(8s-5)-2(8s-5)\\=(8s-7)(8s-5)\)
9. \((5b-7)(b+5)+(5b-7)(2b+5)\\=(5b-7)(b+5+2b+5)\\=(5b-7)(3b+10)\)
10. \((6s-5)^2-(18s-15)\\=(6s-5)(6s-5)-3(6s-5)\\=(6s-8)(6s-5)\)
11. \((3p-2)(p+5)+(3p-2)(2p+2)\\=(3p-2)(p+5+2p+2)\\=(3p-2)(3p+7)\)
12. \((7b+9)(b-6)-(7b+9)(5b-2)\\=(7b+9)(b-6-5b+2)\\=(7b+9)(-4b-4)\)