Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((b+4)(b-5)-(4b+8)(b+4)\)
2. \((5b+8)^2+(25b+40)\)
3. \((p-8)(p+9)-(5p+5)(p-8)\)
4. \((2p+3)(p-3)+(2p+3)(5p-3)\)
5. \((8x-5)^2+(32x-20)\)
6. \((3y-8)^2+(15y-40)\)
7. \((2x+1)^2+(4x+2)\)
8. \((7a-6)(a+3)-(7a-6)(5a+6)\)
9. \((3y-8)(y+7)+(3y-8)(2y-9)\)
10. \((p-9)^2+(3p-27)\)
11. \((7a-6)(a+9)+(7a-6)(5a-1)\)
12. \((6p-3)(p-2)-(6p-3)(5p-2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((b+4)(b-5)-(4b+8)(b+4)\\=(b+4)(b-5-4b-8)\\=(b+4)(-3b-13)\)
2. \((5b+8)^2+(25b+40)\\=(5b+8)(5b+8)+5(5b+8)\\=(5b+13)(5b+8)\)
3. \((p-8)(p+9)-(5p+5)(p-8)\\=(p-8)(p+9-5p-5)\\=(p-8)(-4p+4)\)
4. \((2p+3)(p-3)+(2p+3)(5p-3)\\=(2p+3)(p-3+5p-3)\\=(2p+3)(6p-6)\)
5. \((8x-5)^2+(32x-20)\\=(8x-5)(8x-5)+4(8x-5)\\=(8x-1)(8x-5)\)
6. \((3y-8)^2+(15y-40)\\=(3y-8)(3y-8)+5(3y-8)\\=(3y-3)(3y-8)\)
7. \((2x+1)^2+(4x+2)\\=(2x+1)(2x+1)+2(2x+1)\\=(2x+3)(2x+1)\)
8. \((7a-6)(a+3)-(7a-6)(5a+6)\\=(7a-6)(a+3-5a-6)\\=(7a-6)(-4a-3)\)
9. \((3y-8)(y+7)+(3y-8)(2y-9)\\=(3y-8)(y+7+2y-9)\\=(3y-8)(3y-2)\)
10. \((p-9)^2+(3p-27)\\=(p-9)(p-9)+3(p-9)\\=(p-6)(p-9)\)
11. \((7a-6)(a+9)+(7a-6)(5a-1)\\=(7a-6)(a+9+5a-1)\\=(7a-6)(6a+8)\)
12. \((6p-3)(p-2)-(6p-3)(5p-2)\\=(6p-3)(p-2-5p+2)\\=(6p-3)(-4p+0)\)