Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((s+5)(s-8)+(5s-7)(s+5)\)
2. \((2q+5)^2-(8q+20)\)
3. \((2q+7)^2+(10q+35)\)
4. \((2s+1)^2+(10s+5)\)
5. \((5x-5)(x+4)-(5x-5)(4x-4)\)
6. \((9x-2)^2+(45x-10)\)
7. \((p-3)(p+5)-(3p+1)(p-3)\)
8. \((5y-5)(y+8)+(5y-5)(2y-5)\)
9. \((5s-2)^2+(20s-8)\)
10. \((b-3)(b-8)+(3b-8)(b-3)\)
11. \((5b+5)(b+9)-(5b+5)(4b+7)\)
12. \((8p+2)(p+9)+(8p+2)(5p+3)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((s+5)(s-8)+(5s-7)(s+5)\\=(s+5)(s-8+5s-7)\\=(s+5)(6s-15)\)
2. \((2q+5)^2-(8q+20)\\=(2q+5)(2q+5)-4(2q+5)\\=(2q+1)(2q+5)\)
3. \((2q+7)^2+(10q+35)\\=(2q+7)(2q+7)+5(2q+7)\\=(2q+12)(2q+7)\)
4. \((2s+1)^2+(10s+5)\\=(2s+1)(2s+1)+5(2s+1)\\=(2s+6)(2s+1)\)
5. \((5x-5)(x+4)-(5x-5)(4x-4)\\=(5x-5)(x+4-4x+4)\\=(5x-5)(-3x+8)\)
6. \((9x-2)^2+(45x-10)\\=(9x-2)(9x-2)+5(9x-2)\\=(9x+3)(9x-2)\)
7. \((p-3)(p+5)-(3p+1)(p-3)\\=(p-3)(p+5-3p-1)\\=(p-3)(-2p+4)\)
8. \((5y-5)(y+8)+(5y-5)(2y-5)\\=(5y-5)(y+8+2y-5)\\=(5y-5)(3y+3)\)
9. \((5s-2)^2+(20s-8)\\=(5s-2)(5s-2)+4(5s-2)\\=(5s+2)(5s-2)\)
10. \((b-3)(b-8)+(3b-8)(b-3)\\=(b-3)(b-8+3b-8)\\=(b-3)(4b-16)\)
11. \((5b+5)(b+9)-(5b+5)(4b+7)\\=(5b+5)(b+9-4b-7)\\=(5b+5)(-3b+2)\)
12. \((8p+2)(p+9)+(8p+2)(5p+3)\\=(8p+2)(p+9+5p+3)\\=(8p+2)(6p+12)\)