Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3q-3)(q+6)+(3q-3)(2q+9)\)
2. \((y+5)(y+3)+(2y+5)(y+5)\)
3. \((5q-7)^2-(20q-28)\)
4. \((3b+3)(b+2)-(3b+3)(2b-7)\)
5. \((4y-3)^2-(8y-6)\)
6. \((p-1)(p-9)+(2p-7)(p-1)\)
7. \((3y-2)(y-2)-(3y-2)(2y-4)\)
8. \((q+9)(q+8)-(3q-8)(q+9)\)
9. \((3x+7)(x-4)+(3x+7)(2x-1)\)
10. \((6q+8)(q+6)-(6q+8)(5q-1)\)
11. \((5p+1)^2+(15p+3)\)
12. \((7q-2)(q+9)-(7q-2)(3q+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3q-3)(q+6)+(3q-3)(2q+9)\\=(3q-3)(q+6+2q+9)\\=(3q-3)(3q+15)\)
2. \((y+5)(y+3)+(2y+5)(y+5)\\=(y+5)(y+3+2y+5)\\=(y+5)(3y+8)\)
3. \((5q-7)^2-(20q-28)\\=(5q-7)(5q-7)-4(5q-7)\\=(5q-11)(5q-7)\)
4. \((3b+3)(b+2)-(3b+3)(2b-7)\\=(3b+3)(b+2-2b+7)\\=(3b+3)(-b+9)\)
5. \((4y-3)^2-(8y-6)\\=(4y-3)(4y-3)-2(4y-3)\\=(4y-5)(4y-3)\)
6. \((p-1)(p-9)+(2p-7)(p-1)\\=(p-1)(p-9+2p-7)\\=(p-1)(3p-16)\)
7. \((3y-2)(y-2)-(3y-2)(2y-4)\\=(3y-2)(y-2-2y+4)\\=(3y-2)(-y+2)\)
8. \((q+9)(q+8)-(3q-8)(q+9)\\=(q+9)(q+8-3q+8)\\=(q+9)(-2q+16)\)
9. \((3x+7)(x-4)+(3x+7)(2x-1)\\=(3x+7)(x-4+2x-1)\\=(3x+7)(3x-5)\)
10. \((6q+8)(q+6)-(6q+8)(5q-1)\\=(6q+8)(q+6-5q+1)\\=(6q+8)(-4q+7)\)
11. \((5p+1)^2+(15p+3)\\=(5p+1)(5p+1)+3(5p+1)\\=(5p+4)(5p+1)\)
12. \((7q-2)(q+9)-(7q-2)(3q+4)\\=(7q-2)(q+9-3q-4)\\=(7q-2)(-2q+5)\)