Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((q-1)(q-1)-(4q-6)(q-1)\)
2. \((9a+1)^2-(36a+4)\)
3. \((6s+5)^2-(24s+20)\)
4. \((5x-9)^2+(10x-18)\)
5. \((9s+8)^2+(36s+32)\)
6. \((4a-7)^2-(16a-28)\)
7. \((8a-5)(a-3)-(8a-5)(3a-2)\)
8. \((7s+8)(s-1)-(7s+8)(3s+6)\)
9. \((y-5)(y-1)-(5y+5)(y-5)\)
10. \((9y-4)^2+(18y-8)\)
11. \((5s-4)(s-9)-(5s-4)(4s-4)\)
12. \((5p+3)(p-3)-(5p+3)(2p+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((q-1)(q-1)-(4q-6)(q-1)\\=(q-1)(q-1-4q+6)\\=(q-1)(-3q+5)\)
2. \((9a+1)^2-(36a+4)\\=(9a+1)(9a+1)-4(9a+1)\\=(9a-3)(9a+1)\)
3. \((6s+5)^2-(24s+20)\\=(6s+5)(6s+5)-4(6s+5)\\=(6s+1)(6s+5)\)
4. \((5x-9)^2+(10x-18)\\=(5x-9)(5x-9)+2(5x-9)\\=(5x-7)(5x-9)\)
5. \((9s+8)^2+(36s+32)\\=(9s+8)(9s+8)+4(9s+8)\\=(9s+12)(9s+8)\)
6. \((4a-7)^2-(16a-28)\\=(4a-7)(4a-7)-4(4a-7)\\=(4a-11)(4a-7)\)
7. \((8a-5)(a-3)-(8a-5)(3a-2)\\=(8a-5)(a-3-3a+2)\\=(8a-5)(-2a-1)\)
8. \((7s+8)(s-1)-(7s+8)(3s+6)\\=(7s+8)(s-1-3s-6)\\=(7s+8)(-2s-7)\)
9. \((y-5)(y-1)-(5y+5)(y-5)\\=(y-5)(y-1-5y-5)\\=(y-5)(-4y-6)\)
10. \((9y-4)^2+(18y-8)\\=(9y-4)(9y-4)+2(9y-4)\\=(9y-2)(9y-4)\)
11. \((5s-4)(s-9)-(5s-4)(4s-4)\\=(5s-4)(s-9-4s+4)\\=(5s-4)(-3s-5)\)
12. \((5p+3)(p-3)-(5p+3)(2p+4)\\=(5p+3)(p-3-2p-4)\\=(5p+3)(-p-7)\)