Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((8b-5)^2+(24b-15)\)
2. \((5p+3)(p+6)+(5p+3)(4p-8)\)
3. \((y-9)(y+1)-(2y+7)(y-9)\)
4. \((2p+7)(p-6)-(2p+7)(3p-7)\)
5. \((b+8)(b+3)-(2b-8)(b+8)\)
6. \((2s+1)^2+(4s+2)\)
7. \((a+3)(a+7)-(4a-4)(a+3)\)
8. \((8q-7)^2-(40q-35)\)
9. \((4q+1)(q+2)-(4q+1)(3q+4)\)
10. \((7p+5)(p+9)-(7p+5)(3p-8)\)
11. \((6q+5)^2-(12q+10)\)
12. \((3a-8)^2-(12a-32)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((8b-5)^2+(24b-15)\\=(8b-5)(8b-5)+3(8b-5)\\=(8b-2)(8b-5)\)
2. \((5p+3)(p+6)+(5p+3)(4p-8)\\=(5p+3)(p+6+4p-8)\\=(5p+3)(5p-2)\)
3. \((y-9)(y+1)-(2y+7)(y-9)\\=(y-9)(y+1-2y-7)\\=(y-9)(-y-6)\)
4. \((2p+7)(p-6)-(2p+7)(3p-7)\\=(2p+7)(p-6-3p+7)\\=(2p+7)(-2p+1)\)
5. \((b+8)(b+3)-(2b-8)(b+8)\\=(b+8)(b+3-2b+8)\\=(b+8)(-b+11)\)
6. \((2s+1)^2+(4s+2)\\=(2s+1)(2s+1)+2(2s+1)\\=(2s+3)(2s+1)\)
7. \((a+3)(a+7)-(4a-4)(a+3)\\=(a+3)(a+7-4a+4)\\=(a+3)(-3a+11)\)
8. \((8q-7)^2-(40q-35)\\=(8q-7)(8q-7)-5(8q-7)\\=(8q-12)(8q-7)\)
9. \((4q+1)(q+2)-(4q+1)(3q+4)\\=(4q+1)(q+2-3q-4)\\=(4q+1)(-2q-2)\)
10. \((7p+5)(p+9)-(7p+5)(3p-8)\\=(7p+5)(p+9-3p+8)\\=(7p+5)(-2p+17)\)
11. \((6q+5)^2-(12q+10)\\=(6q+5)(6q+5)-2(6q+5)\\=(6q+3)(6q+5)\)
12. \((3a-8)^2-(12a-32)\\=(3a-8)(3a-8)-4(3a-8)\\=(3a-12)(3a-8)\)