Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((9q+7)^2+(27q+21)\)
2. \((6x-5)^2+(30x-25)\)
3. \((2b+1)^2-(6b+3)\)
4. \((3y+5)^2+(12y+20)\)
5. \((6p+7)(p+4)-(6p+7)(5p-5)\)
6. \((s-8)(s-8)-(5s-7)(s-8)\)
7. \((x-3)(x+9)+(3x-4)(x-3)\)
8. \((8y-8)(y-5)+(8y-8)(3y-2)\)
9. \((a-4)(a+9)-(4a+5)(a-4)\)
10. \((q+7)(q+2)+(3q+2)(q+7)\)
11. \((3a-8)(a-3)+(3a-8)(4a-6)\)
12. \((b-5)(b+3)-(3b+9)(b-5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((9q+7)^2+(27q+21)\\=(9q+7)(9q+7)+3(9q+7)\\=(9q+10)(9q+7)\)
2. \((6x-5)^2+(30x-25)\\=(6x-5)(6x-5)+5(6x-5)\\=(6x+0)(6x-5)\)
3. \((2b+1)^2-(6b+3)\\=(2b+1)(2b+1)-3(2b+1)\\=(2b-2)(2b+1)\)
4. \((3y+5)^2+(12y+20)\\=(3y+5)(3y+5)+4(3y+5)\\=(3y+9)(3y+5)\)
5. \((6p+7)(p+4)-(6p+7)(5p-5)\\=(6p+7)(p+4-5p+5)\\=(6p+7)(-4p+9)\)
6. \((s-8)(s-8)-(5s-7)(s-8)\\=(s-8)(s-8-5s+7)\\=(s-8)(-4s-1)\)
7. \((x-3)(x+9)+(3x-4)(x-3)\\=(x-3)(x+9+3x-4)\\=(x-3)(4x+5)\)
8. \((8y-8)(y-5)+(8y-8)(3y-2)\\=(8y-8)(y-5+3y-2)\\=(8y-8)(4y-7)\)
9. \((a-4)(a+9)-(4a+5)(a-4)\\=(a-4)(a+9-4a-5)\\=(a-4)(-3a+4)\)
10. \((q+7)(q+2)+(3q+2)(q+7)\\=(q+7)(q+2+3q+2)\\=(q+7)(4q+4)\)
11. \((3a-8)(a-3)+(3a-8)(4a-6)\\=(3a-8)(a-3+4a-6)\\=(3a-8)(5a-9)\)
12. \((b-5)(b+3)-(3b+9)(b-5)\\=(b-5)(b+3-3b-9)\\=(b-5)(-2b-6)\)