Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((y+1)(y-6)+(4y-7)(y+1)\)
2. \((7p-4)(p+7)-(7p-4)(4p+5)\)
3. \((7y-4)(y-5)-(7y-4)(2y-3)\)
4. \((x-4)(x-5)-(2x-8)(x-4)\)
5. \((b+6)(b+1)-(4b+9)(b+6)\)
6. \((4q+5)^2+(20q+25)\)
7. \((8q+5)^2-(24q+15)\)
8. \((5p-3)(p+2)+(5p-3)(2p-7)\)
9. \((2p+1)^2-(10p+5)\)
10. \((p-1)(p-9)+(5p-4)(p-1)\)
11. \((2y+7)^2-(10y+35)\)
12. \((y-1)(y-2)-(4y-9)(y-1)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((y+1)(y-6)+(4y-7)(y+1)\\=(y+1)(y-6+4y-7)\\=(y+1)(5y-13)\)
2. \((7p-4)(p+7)-(7p-4)(4p+5)\\=(7p-4)(p+7-4p-5)\\=(7p-4)(-3p+2)\)
3. \((7y-4)(y-5)-(7y-4)(2y-3)\\=(7y-4)(y-5-2y+3)\\=(7y-4)(-y-2)\)
4. \((x-4)(x-5)-(2x-8)(x-4)\\=(x-4)(x-5-2x+8)\\=(x-4)(-x+3)\)
5. \((b+6)(b+1)-(4b+9)(b+6)\\=(b+6)(b+1-4b-9)\\=(b+6)(-3b-8)\)
6. \((4q+5)^2+(20q+25)\\=(4q+5)(4q+5)+5(4q+5)\\=(4q+10)(4q+5)\)
7. \((8q+5)^2-(24q+15)\\=(8q+5)(8q+5)-3(8q+5)\\=(8q+2)(8q+5)\)
8. \((5p-3)(p+2)+(5p-3)(2p-7)\\=(5p-3)(p+2+2p-7)\\=(5p-3)(3p-5)\)
9. \((2p+1)^2-(10p+5)\\=(2p+1)(2p+1)-5(2p+1)\\=(2p-4)(2p+1)\)
10. \((p-1)(p-9)+(5p-4)(p-1)\\=(p-1)(p-9+5p-4)\\=(p-1)(6p-13)\)
11. \((2y+7)^2-(10y+35)\\=(2y+7)(2y+7)-5(2y+7)\\=(2y+2)(2y+7)\)
12. \((y-1)(y-2)-(4y-9)(y-1)\\=(y-1)(y-2-4y+9)\\=(y-1)(-3y+7)\)