Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((8b+1)^2+(32b+4)\)
2. \((5p+8)^2+(10p+16)\)
3. \((7p+1)^2+(14p+2)\)
4. \((4s-9)(s-7)+(4s-9)(3s-3)\)
5. \((p-1)(p+1)+(5p-7)(p-1)\)
6. \((q+4)(q+6)+(5q+9)(q+4)\)
7. \((x-6)(x-3)-(4x-5)(x-6)\)
8. \((6a+5)^2+(24a+20)\)
9. \((3q-9)(q+5)-(3q-9)(2q-9)\)
10. \((6x-6)(x+7)-(6x-6)(5x+5)\)
11. \((3q+1)(q+2)+(3q+1)(2q+4)\)
12. \((x+1)^2-(4x+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((8b+1)^2+(32b+4)\\=(8b+1)(8b+1)+4(8b+1)\\=(8b+5)(8b+1)\)
2. \((5p+8)^2+(10p+16)\\=(5p+8)(5p+8)+2(5p+8)\\=(5p+10)(5p+8)\)
3. \((7p+1)^2+(14p+2)\\=(7p+1)(7p+1)+2(7p+1)\\=(7p+3)(7p+1)\)
4. \((4s-9)(s-7)+(4s-9)(3s-3)\\=(4s-9)(s-7+3s-3)\\=(4s-9)(4s-10)\)
5. \((p-1)(p+1)+(5p-7)(p-1)\\=(p-1)(p+1+5p-7)\\=(p-1)(6p-6)\)
6. \((q+4)(q+6)+(5q+9)(q+4)\\=(q+4)(q+6+5q+9)\\=(q+4)(6q+15)\)
7. \((x-6)(x-3)-(4x-5)(x-6)\\=(x-6)(x-3-4x+5)\\=(x-6)(-3x+2)\)
8. \((6a+5)^2+(24a+20)\\=(6a+5)(6a+5)+4(6a+5)\\=(6a+9)(6a+5)\)
9. \((3q-9)(q+5)-(3q-9)(2q-9)\\=(3q-9)(q+5-2q+9)\\=(3q-9)(-q+14)\)
10. \((6x-6)(x+7)-(6x-6)(5x+5)\\=(6x-6)(x+7-5x-5)\\=(6x-6)(-4x+2)\)
11. \((3q+1)(q+2)+(3q+1)(2q+4)\\=(3q+1)(q+2+2q+4)\\=(3q+1)(3q+6)\)
12. \((x+1)^2-(4x+4)\\=(x+1)(x+1)-4(x+1)\\=(x-3)(x+1)\)