Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5y+1)^2-(20y+4)\)
2. \((y+7)(y+9)-(3y+6)(y+7)\)
3. \((p-9)(p+7)+(5p+9)(p-9)\)
4. \((7y+9)(y+7)-(7y+9)(3y+6)\)
5. \((x+3)(x-6)+(5x+6)(x+3)\)
6. \((6p-5)^2+(30p-25)\)
7. \((3s+7)(s+7)-(3s+7)(4s-4)\)
8. \((3p-8)^2+(12p-32)\)
9. \((6s+1)^2+(12s+2)\)
10. \((2b-4)(b+2)+(2b-4)(3b-3)\)
11. \((5q+7)(q-4)+(5q+7)(2q-5)\)
12. \((6p+3)(p+9)-(6p+3)(5p-1)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5y+1)^2-(20y+4)\\=(5y+1)(5y+1)-4(5y+1)\\=(5y-3)(5y+1)\)
2. \((y+7)(y+9)-(3y+6)(y+7)\\=(y+7)(y+9-3y-6)\\=(y+7)(-2y+3)\)
3. \((p-9)(p+7)+(5p+9)(p-9)\\=(p-9)(p+7+5p+9)\\=(p-9)(6p+16)\)
4. \((7y+9)(y+7)-(7y+9)(3y+6)\\=(7y+9)(y+7-3y-6)\\=(7y+9)(-2y+1)\)
5. \((x+3)(x-6)+(5x+6)(x+3)\\=(x+3)(x-6+5x+6)\\=(x+3)(6x+0)\)
6. \((6p-5)^2+(30p-25)\\=(6p-5)(6p-5)+5(6p-5)\\=(6p+0)(6p-5)\)
7. \((3s+7)(s+7)-(3s+7)(4s-4)\\=(3s+7)(s+7-4s+4)\\=(3s+7)(-3s+11)\)
8. \((3p-8)^2+(12p-32)\\=(3p-8)(3p-8)+4(3p-8)\\=(3p-4)(3p-8)\)
9. \((6s+1)^2+(12s+2)\\=(6s+1)(6s+1)+2(6s+1)\\=(6s+3)(6s+1)\)
10. \((2b-4)(b+2)+(2b-4)(3b-3)\\=(2b-4)(b+2+3b-3)\\=(2b-4)(4b-1)\)
11. \((5q+7)(q-4)+(5q+7)(2q-5)\\=(5q+7)(q-4+2q-5)\\=(5q+7)(3q-9)\)
12. \((6p+3)(p+9)-(6p+3)(5p-1)\\=(6p+3)(p+9-5p+1)\\=(6p+3)(-4p+10)\)