Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((7p-9)(p+1)-(7p-9)(2p+2)\\=(7p-9)(p+1-2p-2)\\=(7p-9)(-p-1)\)
2. \((5b+5)(b-9)-(5b+5)(2b+9)\\=(5b+5)(b-9-2b-9)\\=(5b+5)(-b-18)\)
3. \((6y-5)^2-(12y-10)\\=(6y-5)(6y-5)-2(6y-5)\\=(6y-7)(6y-5)\)
4. \((7y+6)(y+9)-(7y+6)(4y-9)\\=(7y+6)(y+9-4y+9)\\=(7y+6)(-3y+18)\)
5. \((3x+5)(x-4)-(3x+5)(2x-1)\\=(3x+5)(x-4-2x+1)\\=(3x+5)(-x-3)\)
6. \((x-6)(x+1)-(2x-5)(x-6)\\=(x-6)(x+1-2x+5)\\=(x-6)(-x+6)\)
7. \((8y-5)(y-5)-(8y-5)(5y+2)\\=(8y-5)(y-5-5y-2)\\=(8y-5)(-4y-7)\)
8. \((7y-5)(y-1)+(7y-5)(2y+5)\\=(7y-5)(y-1+2y+5)\\=(7y-5)(3y+4)\)
9. \((4b+6)(b-7)-(4b+6)(3b+3)\\=(4b+6)(b-7-3b-3)\\=(4b+6)(-2b-10)\)
10. \((2y-5)(y-9)+(2y-5)(5y+2)\\=(2y-5)(y-9+5y+2)\\=(2y-5)(6y-7)\)
11. \((5y-2)^2-(10y-4)\\=(5y-2)(5y-2)-2(5y-2)\\=(5y-4)(5y-2)\)
12. \((3p-5)(p+3)+(3p-5)(2p+6)\\=(3p-5)(p+3+2p+6)\\=(3p-5)(3p+9)\)