Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((7p-6)^2+(14p-12)\)
2. \((9p+4)^2+(45p+20)\)
3. \((2q+1)^2+(8q+4)\)
4. \((5x+7)(x-7)+(5x+7)(3x+2)\)
5. \((3y+2)(y-5)-(3y+2)(2y-6)\)
6. \((3s-8)(s+2)-(3s-8)(4s+8)\)
7. \((3p-6)(p+5)+(3p-6)(4p-4)\)
8. \((5q-2)(q-5)+(5q-2)(4q+3)\)
9. \((p-2)(p-1)-(2p-7)(p-2)\)
10. \((7p+5)(p+8)-(7p+5)(2p-3)\)
11. \((p-4)^2+(3p-12)\)
12. \((5x+2)^2-(15x+6)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((7p-6)^2+(14p-12)\\=(7p-6)(7p-6)+2(7p-6)\\=(7p-4)(7p-6)\)
2. \((9p+4)^2+(45p+20)\\=(9p+4)(9p+4)+5(9p+4)\\=(9p+9)(9p+4)\)
3. \((2q+1)^2+(8q+4)\\=(2q+1)(2q+1)+4(2q+1)\\=(2q+5)(2q+1)\)
4. \((5x+7)(x-7)+(5x+7)(3x+2)\\=(5x+7)(x-7+3x+2)\\=(5x+7)(4x-5)\)
5. \((3y+2)(y-5)-(3y+2)(2y-6)\\=(3y+2)(y-5-2y+6)\\=(3y+2)(-y+1)\)
6. \((3s-8)(s+2)-(3s-8)(4s+8)\\=(3s-8)(s+2-4s-8)\\=(3s-8)(-3s-6)\)
7. \((3p-6)(p+5)+(3p-6)(4p-4)\\=(3p-6)(p+5+4p-4)\\=(3p-6)(5p+1)\)
8. \((5q-2)(q-5)+(5q-2)(4q+3)\\=(5q-2)(q-5+4q+3)\\=(5q-2)(5q-2)\)
9. \((p-2)(p-1)-(2p-7)(p-2)\\=(p-2)(p-1-2p+7)\\=(p-2)(-p+6)\)
10. \((7p+5)(p+8)-(7p+5)(2p-3)\\=(7p+5)(p+8-2p+3)\\=(7p+5)(-p+11)\)
11. \((p-4)^2+(3p-12)\\=(p-4)(p-4)+3(p-4)\\=(p-1)(p-4)\)
12. \((5x+2)^2-(15x+6)\\=(5x+2)(5x+2)-3(5x+2)\\=(5x-1)(5x+2)\)