Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((2x+1)^2-(10x+5)\)
2. \((q-9)(q+3)-(5q-9)(q-9)\)
3. \((5b-7)(b+3)+(5b-7)(2b-6)\)
4. \((5a+4)(a+9)-(5a+4)(4a+4)\)
5. \((8b+7)^2-(40b+35)\)
6. \((3q+4)(q+4)-(3q+4)(4q+1)\)
7. \((3p+2)^2-(12p+8)\)
8. \((9p+2)^2+(45p+10)\)
9. \((5a-7)^2-(15a-21)\)
10. \((6y+1)^2-(18y+3)\)
11. \((q-3)(q-4)+(5q-2)(q-3)\)
12. \((4q+5)(q-7)-(4q+5)(3q-4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((2x+1)^2-(10x+5)\\=(2x+1)(2x+1)-5(2x+1)\\=(2x-4)(2x+1)\)
2. \((q-9)(q+3)-(5q-9)(q-9)\\=(q-9)(q+3-5q+9)\\=(q-9)(-4q+12)\)
3. \((5b-7)(b+3)+(5b-7)(2b-6)\\=(5b-7)(b+3+2b-6)\\=(5b-7)(3b-3)\)
4. \((5a+4)(a+9)-(5a+4)(4a+4)\\=(5a+4)(a+9-4a-4)\\=(5a+4)(-3a+5)\)
5. \((8b+7)^2-(40b+35)\\=(8b+7)(8b+7)-5(8b+7)\\=(8b+2)(8b+7)\)
6. \((3q+4)(q+4)-(3q+4)(4q+1)\\=(3q+4)(q+4-4q-1)\\=(3q+4)(-3q+3)\)
7. \((3p+2)^2-(12p+8)\\=(3p+2)(3p+2)-4(3p+2)\\=(3p-2)(3p+2)\)
8. \((9p+2)^2+(45p+10)\\=(9p+2)(9p+2)+5(9p+2)\\=(9p+7)(9p+2)\)
9. \((5a-7)^2-(15a-21)\\=(5a-7)(5a-7)-3(5a-7)\\=(5a-10)(5a-7)\)
10. \((6y+1)^2-(18y+3)\\=(6y+1)(6y+1)-3(6y+1)\\=(6y-2)(6y+1)\)
11. \((q-3)(q-4)+(5q-2)(q-3)\\=(q-3)(q-4+5q-2)\\=(q-3)(6q-6)\)
12. \((4q+5)(q-7)-(4q+5)(3q-4)\\=(4q+5)(q-7-3q+4)\\=(4q+5)(-2q-3)\)