Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((4q+3)^2-(8q+6)\)
2. \((7p+9)(p+1)+(7p+9)(3p-3)\)
3. \((6x-9)(x+7)-(6x-9)(5x-6)\)
4. \((5x-2)^2-(10x-4)\)
5. \((3b-2)(b+1)+(3b-2)(2b+6)\)
6. \((b+9)^2+(4b+36)\)
7. \((6x-5)^2+(18x-15)\)
8. \((7x-3)^2-(14x-6)\)
9. \((8s+3)^2+(40s+15)\)
10. \((4s-7)(s+3)-(4s-7)(3s+1)\)
11. \((9b-4)^2+(18b-8)\)
12. \((7s+6)(s-7)+(7s+6)(3s-7)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((4q+3)^2-(8q+6)\\=(4q+3)(4q+3)-2(4q+3)\\=(4q+1)(4q+3)\)
2. \((7p+9)(p+1)+(7p+9)(3p-3)\\=(7p+9)(p+1+3p-3)\\=(7p+9)(4p-2)\)
3. \((6x-9)(x+7)-(6x-9)(5x-6)\\=(6x-9)(x+7-5x+6)\\=(6x-9)(-4x+13)\)
4. \((5x-2)^2-(10x-4)\\=(5x-2)(5x-2)-2(5x-2)\\=(5x-4)(5x-2)\)
5. \((3b-2)(b+1)+(3b-2)(2b+6)\\=(3b-2)(b+1+2b+6)\\=(3b-2)(3b+7)\)
6. \((b+9)^2+(4b+36)\\=(b+9)(b+9)+4(b+9)\\=(b+13)(b+9)\)
7. \((6x-5)^2+(18x-15)\\=(6x-5)(6x-5)+3(6x-5)\\=(6x-2)(6x-5)\)
8. \((7x-3)^2-(14x-6)\\=(7x-3)(7x-3)-2(7x-3)\\=(7x-5)(7x-3)\)
9. \((8s+3)^2+(40s+15)\\=(8s+3)(8s+3)+5(8s+3)\\=(8s+8)(8s+3)\)
10. \((4s-7)(s+3)-(4s-7)(3s+1)\\=(4s-7)(s+3-3s-1)\\=(4s-7)(-2s+2)\)
11. \((9b-4)^2+(18b-8)\\=(9b-4)(9b-4)+2(9b-4)\\=(9b-2)(9b-4)\)
12. \((7s+6)(s-7)+(7s+6)(3s-7)\\=(7s+6)(s-7+3s-7)\\=(7s+6)(4s-14)\)