Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((a-9)(a-6)-(2a+8)(a-9)\\=(a-9)(a-6-2a-8)\\=(a-9)(-a-14)\)
2. \((5b+4)(b-6)+(5b+4)(4b+8)\\=(5b+4)(b-6+4b+8)\\=(5b+4)(5b+2)\)
3. \((p+1)(p-5)+(5p-4)(p+1)\\=(p+1)(p-5+5p-4)\\=(p+1)(6p-9)\)
4. \((b+6)(b-8)+(3b+1)(b+6)\\=(b+6)(b-8+3b+1)\\=(b+6)(4b-7)\)
5. \((x+3)(x-9)-(2x+7)(x+3)\\=(x+3)(x-9-2x-7)\\=(x+3)(-x-16)\)
6. \((5q-6)(q-3)+(5q-6)(2q+5)\\=(5q-6)(q-3+2q+5)\\=(5q-6)(3q+2)\)
7. \((3q-6)(q+7)+(3q-6)(2q-1)\\=(3q-6)(q+7+2q-1)\\=(3q-6)(3q+6)\)
8. \((3p+5)^2+(9p+15)\\=(3p+5)(3p+5)+3(3p+5)\\=(3p+8)(3p+5)\)
9. \((y-5)(y+2)-(5y+9)(y-5)\\=(y-5)(y+2-5y-9)\\=(y-5)(-4y-7)\)
10. \((4q+1)^2-(16q+4)\\=(4q+1)(4q+1)-4(4q+1)\\=(4q-3)(4q+1)\)
11. \((3p+7)^2+(15p+35)\\=(3p+7)(3p+7)+5(3p+7)\\=(3p+12)(3p+7)\)
12. \((y+1)(y-7)+(5y+6)(y+1)\\=(y+1)(y-7+5y+6)\\=(y+1)(6y-1)\)