Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3a+4)(a-8)-(3a+4)(2a-9)\\=(3a+4)(a-8-2a+9)\\=(3a+4)(-a+1)\)
2. \((y+5)(y-2)+(4y+9)(y+5)\\=(y+5)(y-2+4y+9)\\=(y+5)(5y+7)\)
3. \((b-3)(b+6)-(3b+3)(b-3)\\=(b-3)(b+6-3b-3)\\=(b-3)(-2b+3)\)
4. \((b-6)(b+4)-(5b+5)(b-6)\\=(b-6)(b+4-5b-5)\\=(b-6)(-4b-1)\)
5. \((7y+8)(y-7)-(7y+8)(5y-6)\\=(7y+8)(y-7-5y+6)\\=(7y+8)(-4y-1)\)
6. \((6p+9)(p+2)-(6p+9)(5p+5)\\=(6p+9)(p+2-5p-5)\\=(6p+9)(-4p-3)\)
7. \((2p+1)^2+(8p+4)\\=(2p+1)(2p+1)+4(2p+1)\\=(2p+5)(2p+1)\)
8. \((5p+4)(p-5)-(5p+4)(3p-5)\\=(5p+4)(p-5-3p+5)\\=(5p+4)(-2p+0)\)
9. \((8y-7)^2-(24y-21)\\=(8y-7)(8y-7)-3(8y-7)\\=(8y-10)(8y-7)\)
10. \((3y-4)(y-6)+(3y-4)(4y+1)\\=(3y-4)(y-6+4y+1)\\=(3y-4)(5y-5)\)
11. \((s-7)(s-1)-(3s+3)(s-7)\\=(s-7)(s-1-3s-3)\\=(s-7)(-2s-4)\)
12. \((8y+1)^2-(16y+2)\\=(8y+1)(8y+1)-2(8y+1)\\=(8y-1)(8y+1)\)