Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((7x-3)(x-7)-(7x-3)(3x+5)\\=(7x-3)(x-7-3x-5)\\=(7x-3)(-2x-12)\)
2. \((q-9)(q+6)-(2q-8)(q-9)\\=(q-9)(q+6-2q+8)\\=(q-9)(-q+14)\)
3. \((5y-2)(y+9)-(5y-2)(2y-3)\\=(5y-2)(y+9-2y+3)\\=(5y-2)(-y+12)\)
4. \((5a-4)^2+(10a-8)\\=(5a-4)(5a-4)+2(5a-4)\\=(5a-2)(5a-4)\)
5. \((5q-7)(q+7)-(5q-7)(2q-2)\\=(5q-7)(q+7-2q+2)\\=(5q-7)(-q+9)\)
6. \((x+4)(x-3)-(2x+4)(x+4)\\=(x+4)(x-3-2x-4)\\=(x+4)(-x-7)\)
7. \((7s+4)(s-2)+(7s+4)(2s+6)\\=(7s+4)(s-2+2s+6)\\=(7s+4)(3s+4)\)
8. \((4p+2)(p+8)+(4p+2)(3p+5)\\=(4p+2)(p+8+3p+5)\\=(4p+2)(4p+13)\)
9. \((8y+1)^2+(40y+5)\\=(8y+1)(8y+1)+5(8y+1)\\=(8y+6)(8y+1)\)
10. \((s+5)(s-9)+(4s-4)(s+5)\\=(s+5)(s-9+4s-4)\\=(s+5)(5s-13)\)
11. \((a-4)(a-6)+(4a-2)(a-4)\\=(a-4)(a-6+4a-2)\\=(a-4)(5a-8)\)
12. \((2a+1)^2-(10a+5)\\=(2a+1)(2a+1)-5(2a+1)\\=(2a-4)(2a+1)\)