Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((x+7)(x-8)-(3x+2)(x+7)\)
2. \((3p-4)(p-7)-(3p-4)(2p-2)\)
3. \((3p+5)(p+1)-(3p+5)(2p-5)\)
4. \((9y-8)^2-(18y-16)\)
5. \((6x+1)^2+(18x+3)\)
6. \((4a+2)(a-8)-(4a+2)(3a-4)\)
7. \((8y-7)^2+(24y-21)\)
8. \((x+4)(x+2)+(5x-4)(x+4)\)
9. \((y-8)(y+7)+(5y+7)(y-8)\)
10. \((2q+1)^2+(8q+4)\)
11. \((5x+1)^2+(20x+4)\)
12. \((b-6)(b-3)+(2b+1)(b-6)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((x+7)(x-8)-(3x+2)(x+7)\\=(x+7)(x-8-3x-2)\\=(x+7)(-2x-10)\)
2. \((3p-4)(p-7)-(3p-4)(2p-2)\\=(3p-4)(p-7-2p+2)\\=(3p-4)(-p-5)\)
3. \((3p+5)(p+1)-(3p+5)(2p-5)\\=(3p+5)(p+1-2p+5)\\=(3p+5)(-p+6)\)
4. \((9y-8)^2-(18y-16)\\=(9y-8)(9y-8)-2(9y-8)\\=(9y-10)(9y-8)\)
5. \((6x+1)^2+(18x+3)\\=(6x+1)(6x+1)+3(6x+1)\\=(6x+4)(6x+1)\)
6. \((4a+2)(a-8)-(4a+2)(3a-4)\\=(4a+2)(a-8-3a+4)\\=(4a+2)(-2a-4)\)
7. \((8y-7)^2+(24y-21)\\=(8y-7)(8y-7)+3(8y-7)\\=(8y-4)(8y-7)\)
8. \((x+4)(x+2)+(5x-4)(x+4)\\=(x+4)(x+2+5x-4)\\=(x+4)(6x-2)\)
9. \((y-8)(y+7)+(5y+7)(y-8)\\=(y-8)(y+7+5y+7)\\=(y-8)(6y+14)\)
10. \((2q+1)^2+(8q+4)\\=(2q+1)(2q+1)+4(2q+1)\\=(2q+5)(2q+1)\)
11. \((5x+1)^2+(20x+4)\\=(5x+1)(5x+1)+4(5x+1)\\=(5x+5)(5x+1)\)
12. \((b-6)(b-3)+(2b+1)(b-6)\\=(b-6)(b-3+2b+1)\\=(b-6)(3b-2)\)