Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((2q+5)(q+9)-(2q+5)(3q+9)\)
2. \((9y-4)^2-(36y-16)\)
3. \((3p+1)(p+2)-(3p+1)(4p-4)\)
4. \((p+7)(p+6)-(4p-4)(p+7)\)
5. \((x-2)(x+1)+(4x-8)(x-2)\)
6. \((6y+1)^2-(12y+2)\)
7. \((y+8)(y+3)+(4y-8)(y+8)\)
8. \((5b-6)(b+9)+(5b-6)(3b-9)\)
9. \((4x+7)^2-(12x+21)\)
10. \((3y-3)(y+4)-(3y-3)(5y-6)\)
11. \((b+7)(b-6)-(3b-7)(b+7)\)
12. \((2a+3)(a-3)+(2a+3)(5a-4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((2q+5)(q+9)-(2q+5)(3q+9)\\=(2q+5)(q+9-3q-9)\\=(2q+5)(-2q+0)\)
2. \((9y-4)^2-(36y-16)\\=(9y-4)(9y-4)-4(9y-4)\\=(9y-8)(9y-4)\)
3. \((3p+1)(p+2)-(3p+1)(4p-4)\\=(3p+1)(p+2-4p+4)\\=(3p+1)(-3p+6)\)
4. \((p+7)(p+6)-(4p-4)(p+7)\\=(p+7)(p+6-4p+4)\\=(p+7)(-3p+10)\)
5. \((x-2)(x+1)+(4x-8)(x-2)\\=(x-2)(x+1+4x-8)\\=(x-2)(5x-7)\)
6. \((6y+1)^2-(12y+2)\\=(6y+1)(6y+1)-2(6y+1)\\=(6y-1)(6y+1)\)
7. \((y+8)(y+3)+(4y-8)(y+8)\\=(y+8)(y+3+4y-8)\\=(y+8)(5y-5)\)
8. \((5b-6)(b+9)+(5b-6)(3b-9)\\=(5b-6)(b+9+3b-9)\\=(5b-6)(4b+0)\)
9. \((4x+7)^2-(12x+21)\\=(4x+7)(4x+7)-3(4x+7)\\=(4x+4)(4x+7)\)
10. \((3y-3)(y+4)-(3y-3)(5y-6)\\=(3y-3)(y+4-5y+6)\\=(3y-3)(-4y+10)\)
11. \((b+7)(b-6)-(3b-7)(b+7)\\=(b+7)(b-6-3b+7)\\=(b+7)(-2b+1)\)
12. \((2a+3)(a-3)+(2a+3)(5a-4)\\=(2a+3)(a-3+5a-4)\\=(2a+3)(6a-7)\)