Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((7x+1)(x-7)-(7x+1)(3x+1)\)
2. \((7p+1)(p-6)-(7p+1)(3p-3)\)
3. \((2s+7)(s+9)-(2s+7)(5s+3)\)
4. \((3x+3)(x-7)+(3x+3)(5x-4)\)
5. \((6y+1)^2+(18y+3)\)
6. \((6s-5)^2+(30s-25)\)
7. \((q-8)(q-9)-(2q-7)(q-8)\)
8. \((8a+5)^2+(40a+25)\)
9. \((3p-6)(p-1)+(3p-6)(5p-5)\)
10. \((y-6)(y+6)+(4y+1)(y-6)\)
11. \((a+7)(a+1)-(3a-1)(a+7)\)
12. \((q-3)(q+3)+(4q+9)(q-3)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((7x+1)(x-7)-(7x+1)(3x+1)\\=(7x+1)(x-7-3x-1)\\=(7x+1)(-2x-8)\)
2. \((7p+1)(p-6)-(7p+1)(3p-3)\\=(7p+1)(p-6-3p+3)\\=(7p+1)(-2p-3)\)
3. \((2s+7)(s+9)-(2s+7)(5s+3)\\=(2s+7)(s+9-5s-3)\\=(2s+7)(-4s+6)\)
4. \((3x+3)(x-7)+(3x+3)(5x-4)\\=(3x+3)(x-7+5x-4)\\=(3x+3)(6x-11)\)
5. \((6y+1)^2+(18y+3)\\=(6y+1)(6y+1)+3(6y+1)\\=(6y+4)(6y+1)\)
6. \((6s-5)^2+(30s-25)\\=(6s-5)(6s-5)+5(6s-5)\\=(6s+0)(6s-5)\)
7. \((q-8)(q-9)-(2q-7)(q-8)\\=(q-8)(q-9-2q+7)\\=(q-8)(-q-2)\)
8. \((8a+5)^2+(40a+25)\\=(8a+5)(8a+5)+5(8a+5)\\=(8a+10)(8a+5)\)
9. \((3p-6)(p-1)+(3p-6)(5p-5)\\=(3p-6)(p-1+5p-5)\\=(3p-6)(6p-6)\)
10. \((y-6)(y+6)+(4y+1)(y-6)\\=(y-6)(y+6+4y+1)\\=(y-6)(5y+7)\)
11. \((a+7)(a+1)-(3a-1)(a+7)\\=(a+7)(a+1-3a+1)\\=(a+7)(-2a+2)\)
12. \((q-3)(q+3)+(4q+9)(q-3)\\=(q-3)(q+3+4q+9)\\=(q-3)(5q+12)\)