Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5q+1)^2-(10q+2)\)
2. \((q-7)^2-(3q-21)\)
3. \((5y+5)(y+3)+(5y+5)(2y-2)\)
4. \((x+7)(x-6)-(5x-6)(x+7)\)
5. \((7p+5)^2+(28p+20)\)
6. \((2q+4)(q-8)-(2q+4)(5q+1)\)
7. \((3p-7)(p+2)-(3p-7)(4p+7)\)
8. \((2b-3)(b+8)+(2b-3)(3b+3)\)
9. \((q-4)(q-4)+(2q-8)(q-4)\)
10. \((4p+1)^2+(16p+4)\)
11. \((7y+8)(y+7)-(7y+8)(2y-2)\)
12. \((2q-6)(q-1)+(2q-6)(3q+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5q+1)^2-(10q+2)\\=(5q+1)(5q+1)-2(5q+1)\\=(5q-1)(5q+1)\)
2. \((q-7)^2-(3q-21)\\=(q-7)(q-7)-3(q-7)\\=(q-10)(q-7)\)
3. \((5y+5)(y+3)+(5y+5)(2y-2)\\=(5y+5)(y+3+2y-2)\\=(5y+5)(3y+1)\)
4. \((x+7)(x-6)-(5x-6)(x+7)\\=(x+7)(x-6-5x+6)\\=(x+7)(-4x+0)\)
5. \((7p+5)^2+(28p+20)\\=(7p+5)(7p+5)+4(7p+5)\\=(7p+9)(7p+5)\)
6. \((2q+4)(q-8)-(2q+4)(5q+1)\\=(2q+4)(q-8-5q-1)\\=(2q+4)(-4q-9)\)
7. \((3p-7)(p+2)-(3p-7)(4p+7)\\=(3p-7)(p+2-4p-7)\\=(3p-7)(-3p-5)\)
8. \((2b-3)(b+8)+(2b-3)(3b+3)\\=(2b-3)(b+8+3b+3)\\=(2b-3)(4b+11)\)
9. \((q-4)(q-4)+(2q-8)(q-4)\\=(q-4)(q-4+2q-8)\\=(q-4)(3q-12)\)
10. \((4p+1)^2+(16p+4)\\=(4p+1)(4p+1)+4(4p+1)\\=(4p+5)(4p+1)\)
11. \((7y+8)(y+7)-(7y+8)(2y-2)\\=(7y+8)(y+7-2y+2)\\=(7y+8)(-y+9)\)
12. \((2q-6)(q-1)+(2q-6)(3q+4)\\=(2q-6)(q-1+3q+4)\\=(2q-6)(4q+3)\)