Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((s+6)(s+2)+(3s-4)(s+6)\)
2. \((q-6)(q-8)+(4q-3)(q-6)\)
3. \((y-7)^2-(5y-35)\)
4. \((5y-4)^2-(15y-12)\)
5. \((7q-9)^2+(28q-36)\)
6. \((3q+8)(q-3)+(3q+8)(2q+2)\)
7. \((x+8)(x+3)+(5x+1)(x+8)\)
8. \((6b-5)^2+(18b-15)\)
9. \((3q-6)(q+6)-(3q-6)(5q-2)\)
10. \((a-4)(a-2)-(2a+5)(a-4)\)
11. \((5x+4)^2-(25x+20)\)
12. \((6x+1)^2-(30x+5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((s+6)(s+2)+(3s-4)(s+6)\\=(s+6)(s+2+3s-4)\\=(s+6)(4s-2)\)
2. \((q-6)(q-8)+(4q-3)(q-6)\\=(q-6)(q-8+4q-3)\\=(q-6)(5q-11)\)
3. \((y-7)^2-(5y-35)\\=(y-7)(y-7)-5(y-7)\\=(y-12)(y-7)\)
4. \((5y-4)^2-(15y-12)\\=(5y-4)(5y-4)-3(5y-4)\\=(5y-7)(5y-4)\)
5. \((7q-9)^2+(28q-36)\\=(7q-9)(7q-9)+4(7q-9)\\=(7q-5)(7q-9)\)
6. \((3q+8)(q-3)+(3q+8)(2q+2)\\=(3q+8)(q-3+2q+2)\\=(3q+8)(3q-1)\)
7. \((x+8)(x+3)+(5x+1)(x+8)\\=(x+8)(x+3+5x+1)\\=(x+8)(6x+4)\)
8. \((6b-5)^2+(18b-15)\\=(6b-5)(6b-5)+3(6b-5)\\=(6b-2)(6b-5)\)
9. \((3q-6)(q+6)-(3q-6)(5q-2)\\=(3q-6)(q+6-5q+2)\\=(3q-6)(-4q+8)\)
10. \((a-4)(a-2)-(2a+5)(a-4)\\=(a-4)(a-2-2a-5)\\=(a-4)(-a-7)\)
11. \((5x+4)^2-(25x+20)\\=(5x+4)(5x+4)-5(5x+4)\\=(5x-1)(5x+4)\)
12. \((6x+1)^2-(30x+5)\\=(6x+1)(6x+1)-5(6x+1)\\=(6x-4)(6x+1)\)