Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5y+1)^2-(25y+5)\)
2. \((7p-1)(p-5)+(7p-1)(2p-9)\)
3. \((5s+9)(s-9)+(5s+9)(4s-6)\)
4. \((x+8)(x+6)+(5x-9)(x+8)\)
5. \((8x+1)^2+(16x+2)\)
6. \((5p+8)(p-9)+(5p+8)(4p+7)\)
7. \((8q+3)(q+4)+(8q+3)(5q-9)\)
8. \((5b-6)(b-1)-(5b-6)(3b-8)\)
9. \((y+3)(y-2)+(2y-1)(y+3)\)
10. \((9x-4)^2-(45x-20)\)
11. \((2q+1)^2-(10q+5)\)
12. \((8y+1)(y-8)-(8y+1)(5y-6)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5y+1)^2-(25y+5)\\=(5y+1)(5y+1)-5(5y+1)\\=(5y-4)(5y+1)\)
2. \((7p-1)(p-5)+(7p-1)(2p-9)\\=(7p-1)(p-5+2p-9)\\=(7p-1)(3p-14)\)
3. \((5s+9)(s-9)+(5s+9)(4s-6)\\=(5s+9)(s-9+4s-6)\\=(5s+9)(5s-15)\)
4. \((x+8)(x+6)+(5x-9)(x+8)\\=(x+8)(x+6+5x-9)\\=(x+8)(6x-3)\)
5. \((8x+1)^2+(16x+2)\\=(8x+1)(8x+1)+2(8x+1)\\=(8x+3)(8x+1)\)
6. \((5p+8)(p-9)+(5p+8)(4p+7)\\=(5p+8)(p-9+4p+7)\\=(5p+8)(5p-2)\)
7. \((8q+3)(q+4)+(8q+3)(5q-9)\\=(8q+3)(q+4+5q-9)\\=(8q+3)(6q-5)\)
8. \((5b-6)(b-1)-(5b-6)(3b-8)\\=(5b-6)(b-1-3b+8)\\=(5b-6)(-2b+7)\)
9. \((y+3)(y-2)+(2y-1)(y+3)\\=(y+3)(y-2+2y-1)\\=(y+3)(3y-3)\)
10. \((9x-4)^2-(45x-20)\\=(9x-4)(9x-4)-5(9x-4)\\=(9x-9)(9x-4)\)
11. \((2q+1)^2-(10q+5)\\=(2q+1)(2q+1)-5(2q+1)\\=(2q-4)(2q+1)\)
12. \((8y+1)(y-8)-(8y+1)(5y-6)\\=(8y+1)(y-8-5y+6)\\=(8y+1)(-4y-2)\)