Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5q+3)^2-(10q+6)\)
2. \((8q-3)(q+2)+(8q-3)(5q-2)\)
3. \((x+8)(x-3)+(4x+2)(x+8)\)
4. \((q+5)(q+6)-(2q+8)(q+5)\)
5. \((a+2)(a-9)+(5a-6)(a+2)\)
6. \((8p+7)(p-7)+(8p+7)(5p-5)\)
7. \((4s-7)^2+(20s-35)\)
8. \((8b-7)^2+(24b-21)\)
9. \((2b+1)^2+(8b+4)\)
10. \((7s+2)^2+(28s+8)\)
11. \((7y+7)(y+9)+(7y+7)(3y-9)\)
12. \((p+1)(p-5)-(3p-4)(p+1)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5q+3)^2-(10q+6)\\=(5q+3)(5q+3)-2(5q+3)\\=(5q+1)(5q+3)\)
2. \((8q-3)(q+2)+(8q-3)(5q-2)\\=(8q-3)(q+2+5q-2)\\=(8q-3)(6q+0)\)
3. \((x+8)(x-3)+(4x+2)(x+8)\\=(x+8)(x-3+4x+2)\\=(x+8)(5x-1)\)
4. \((q+5)(q+6)-(2q+8)(q+5)\\=(q+5)(q+6-2q-8)\\=(q+5)(-q-2)\)
5. \((a+2)(a-9)+(5a-6)(a+2)\\=(a+2)(a-9+5a-6)\\=(a+2)(6a-15)\)
6. \((8p+7)(p-7)+(8p+7)(5p-5)\\=(8p+7)(p-7+5p-5)\\=(8p+7)(6p-12)\)
7. \((4s-7)^2+(20s-35)\\=(4s-7)(4s-7)+5(4s-7)\\=(4s-2)(4s-7)\)
8. \((8b-7)^2+(24b-21)\\=(8b-7)(8b-7)+3(8b-7)\\=(8b-4)(8b-7)\)
9. \((2b+1)^2+(8b+4)\\=(2b+1)(2b+1)+4(2b+1)\\=(2b+5)(2b+1)\)
10. \((7s+2)^2+(28s+8)\\=(7s+2)(7s+2)+4(7s+2)\\=(7s+6)(7s+2)\)
11. \((7y+7)(y+9)+(7y+7)(3y-9)\\=(7y+7)(y+9+3y-9)\\=(7y+7)(4y+0)\)
12. \((p+1)(p-5)-(3p-4)(p+1)\\=(p+1)(p-5-3p+4)\\=(p+1)(-2p-1)\)