Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5y+8)^2-(15y+24)\)
2. \((2p+4)(p-5)+(2p+4)(5p+4)\)
3. \((3y-9)(y-9)-(3y-9)(4y+8)\)
4. \((6y-5)^2+(18y-15)\)
5. \((p-1)(p-4)+(4p+9)(p-1)\)
6. \((3q-2)(q+6)+(3q-2)(2q-1)\)
7. \((3p-7)(p-4)+(3p-7)(5p-3)\)
8. \((5q-1)(q+1)-(5q-1)(4q+2)\)
9. \((3p-5)(p+1)-(3p-5)(5p-3)\)
10. \((7s-8)(s+6)+(7s-8)(2s+3)\)
11. \((2q+8)(q-6)+(2q+8)(5q-7)\)
12. \((y-2)(y+2)+(4y-2)(y-2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5y+8)^2-(15y+24)\\=(5y+8)(5y+8)-3(5y+8)\\=(5y+5)(5y+8)\)
2. \((2p+4)(p-5)+(2p+4)(5p+4)\\=(2p+4)(p-5+5p+4)\\=(2p+4)(6p-1)\)
3. \((3y-9)(y-9)-(3y-9)(4y+8)\\=(3y-9)(y-9-4y-8)\\=(3y-9)(-3y-17)\)
4. \((6y-5)^2+(18y-15)\\=(6y-5)(6y-5)+3(6y-5)\\=(6y-2)(6y-5)\)
5. \((p-1)(p-4)+(4p+9)(p-1)\\=(p-1)(p-4+4p+9)\\=(p-1)(5p+5)\)
6. \((3q-2)(q+6)+(3q-2)(2q-1)\\=(3q-2)(q+6+2q-1)\\=(3q-2)(3q+5)\)
7. \((3p-7)(p-4)+(3p-7)(5p-3)\\=(3p-7)(p-4+5p-3)\\=(3p-7)(6p-7)\)
8. \((5q-1)(q+1)-(5q-1)(4q+2)\\=(5q-1)(q+1-4q-2)\\=(5q-1)(-3q-1)\)
9. \((3p-5)(p+1)-(3p-5)(5p-3)\\=(3p-5)(p+1-5p+3)\\=(3p-5)(-4p+4)\)
10. \((7s-8)(s+6)+(7s-8)(2s+3)\\=(7s-8)(s+6+2s+3)\\=(7s-8)(3s+9)\)
11. \((2q+8)(q-6)+(2q+8)(5q-7)\\=(2q+8)(q-6+5q-7)\\=(2q+8)(6q-13)\)
12. \((y-2)(y+2)+(4y-2)(y-2)\\=(y-2)(y+2+4y-2)\\=(y-2)(5y+0)\)