Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5q+5)(q-8)-(5q+5)(4q+2)\)
2. \((8y+8)(y+8)+(8y+8)(5y+5)\)
3. \((x-4)(x-3)-(4x+5)(x-4)\)
4. \((q-9)(q+2)+(4q+1)(q-9)\)
5. \((8y-5)^2+(32y-20)\)
6. \((a+5)(a+8)+(5a+2)(a+5)\)
7. \((2p+3)^2-(6p+9)\)
8. \((7b+7)(b+5)-(7b+7)(5b+3)\)
9. \((q-8)(q+3)-(5q-8)(q-8)\)
10. \((6p-5)^2+(18p-15)\)
11. \((b+9)(b-9)-(2b+7)(b+9)\)
12. \((b+9)(b-8)-(5b+1)(b+9)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5q+5)(q-8)-(5q+5)(4q+2)\\=(5q+5)(q-8-4q-2)\\=(5q+5)(-3q-10)\)
2. \((8y+8)(y+8)+(8y+8)(5y+5)\\=(8y+8)(y+8+5y+5)\\=(8y+8)(6y+13)\)
3. \((x-4)(x-3)-(4x+5)(x-4)\\=(x-4)(x-3-4x-5)\\=(x-4)(-3x-8)\)
4. \((q-9)(q+2)+(4q+1)(q-9)\\=(q-9)(q+2+4q+1)\\=(q-9)(5q+3)\)
5. \((8y-5)^2+(32y-20)\\=(8y-5)(8y-5)+4(8y-5)\\=(8y-1)(8y-5)\)
6. \((a+5)(a+8)+(5a+2)(a+5)\\=(a+5)(a+8+5a+2)\\=(a+5)(6a+10)\)
7. \((2p+3)^2-(6p+9)\\=(2p+3)(2p+3)-3(2p+3)\\=(2p+0)(2p+3)\)
8. \((7b+7)(b+5)-(7b+7)(5b+3)\\=(7b+7)(b+5-5b-3)\\=(7b+7)(-4b+2)\)
9. \((q-8)(q+3)-(5q-8)(q-8)\\=(q-8)(q+3-5q+8)\\=(q-8)(-4q+11)\)
10. \((6p-5)^2+(18p-15)\\=(6p-5)(6p-5)+3(6p-5)\\=(6p-2)(6p-5)\)
11. \((b+9)(b-9)-(2b+7)(b+9)\\=(b+9)(b-9-2b-7)\\=(b+9)(-b-16)\)
12. \((b+9)(b-8)-(5b+1)(b+9)\\=(b+9)(b-8-5b-1)\\=(b+9)(-4b-9)\)