Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((p+5)(p+4)+(4p-4)(p+5)\)
2. \((9s-2)^2+(36s-8)\)
3. \((a-7)(a+6)-(3a-1)(a-7)\)
4. \((q+8)(q-5)-(5q+5)(q+8)\)
5. \((6b+1)^2-(30b+5)\)
6. \((b-5)(b-2)-(5b+4)(b-5)\)
7. \((4x+1)^2-(20x+5)\)
8. \((2a+1)^2+(10a+5)\)
9. \((7x+1)(x+7)+(7x+1)(2x-3)\)
10. \((8s+2)(s-3)+(8s+2)(5s-3)\)
11. \((3p-1)(p+7)+(3p-1)(4p+4)\)
12. \((6b+5)^2-(12b+10)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((p+5)(p+4)+(4p-4)(p+5)\\=(p+5)(p+4+4p-4)\\=(p+5)(5p+0)\)
2. \((9s-2)^2+(36s-8)\\=(9s-2)(9s-2)+4(9s-2)\\=(9s+2)(9s-2)\)
3. \((a-7)(a+6)-(3a-1)(a-7)\\=(a-7)(a+6-3a+1)\\=(a-7)(-2a+7)\)
4. \((q+8)(q-5)-(5q+5)(q+8)\\=(q+8)(q-5-5q-5)\\=(q+8)(-4q-10)\)
5. \((6b+1)^2-(30b+5)\\=(6b+1)(6b+1)-5(6b+1)\\=(6b-4)(6b+1)\)
6. \((b-5)(b-2)-(5b+4)(b-5)\\=(b-5)(b-2-5b-4)\\=(b-5)(-4b-6)\)
7. \((4x+1)^2-(20x+5)\\=(4x+1)(4x+1)-5(4x+1)\\=(4x-4)(4x+1)\)
8. \((2a+1)^2+(10a+5)\\=(2a+1)(2a+1)+5(2a+1)\\=(2a+6)(2a+1)\)
9. \((7x+1)(x+7)+(7x+1)(2x-3)\\=(7x+1)(x+7+2x-3)\\=(7x+1)(3x+4)\)
10. \((8s+2)(s-3)+(8s+2)(5s-3)\\=(8s+2)(s-3+5s-3)\\=(8s+2)(6s-6)\)
11. \((3p-1)(p+7)+(3p-1)(4p+4)\\=(3p-1)(p+7+4p+4)\\=(3p-1)(5p+11)\)
12. \((6b+5)^2-(12b+10)\\=(6b+5)(6b+5)-2(6b+5)\\=(6b+3)(6b+5)\)