Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((p-6)(p-4)+(3p-1)(p-6)\)
2. \((3p-2)^2-(6p-4)\)
3. \((y-2)^2+(3y-6)\)
4. \((q+6)(q-8)-(2q-6)(q+6)\)
5. \((x-1)^2-(5x-5)\)
6. \((x-1)(x+7)-(5x-2)(x-1)\)
7. \((7q-8)(q+1)-(7q-8)(2q-7)\)
8. \((4s+9)(s-7)+(4s+9)(5s-3)\)
9. \((5y-4)^2+(20y-16)\)
10. \((5a+6)^2+(25a+30)\)
11. \((6s-9)(s-9)-(6s-9)(5s+7)\)
12. \((3b+4)^2-(15b+20)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((p-6)(p-4)+(3p-1)(p-6)\\=(p-6)(p-4+3p-1)\\=(p-6)(4p-5)\)
2. \((3p-2)^2-(6p-4)\\=(3p-2)(3p-2)-2(3p-2)\\=(3p-4)(3p-2)\)
3. \((y-2)^2+(3y-6)\\=(y-2)(y-2)+3(y-2)\\=(y+1)(y-2)\)
4. \((q+6)(q-8)-(2q-6)(q+6)\\=(q+6)(q-8-2q+6)\\=(q+6)(-q-2)\)
5. \((x-1)^2-(5x-5)\\=(x-1)(x-1)-5(x-1)\\=(x-6)(x-1)\)
6. \((x-1)(x+7)-(5x-2)(x-1)\\=(x-1)(x+7-5x+2)\\=(x-1)(-4x+9)\)
7. \((7q-8)(q+1)-(7q-8)(2q-7)\\=(7q-8)(q+1-2q+7)\\=(7q-8)(-q+8)\)
8. \((4s+9)(s-7)+(4s+9)(5s-3)\\=(4s+9)(s-7+5s-3)\\=(4s+9)(6s-10)\)
9. \((5y-4)^2+(20y-16)\\=(5y-4)(5y-4)+4(5y-4)\\=(5y+0)(5y-4)\)
10. \((5a+6)^2+(25a+30)\\=(5a+6)(5a+6)+5(5a+6)\\=(5a+11)(5a+6)\)
11. \((6s-9)(s-9)-(6s-9)(5s+7)\\=(6s-9)(s-9-5s-7)\\=(6s-9)(-4s-16)\)
12. \((3b+4)^2-(15b+20)\\=(3b+4)(3b+4)-5(3b+4)\\=(3b-1)(3b+4)\)