Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((9x-4)^2+(27x-12)\)
2. \((b+5)(b-4)-(4b-2)(b+5)\)
3. \((b+8)(b+9)+(2b-7)(b+8)\)
4. \((s-9)(s+4)+(4s+6)(s-9)\)
5. \((8b+5)^2+(40b+25)\)
6. \((2q+7)(q+7)-(2q+7)(5q+3)\)
7. \((7y-3)(y+1)-(7y-3)(4y+2)\)
8. \((q-9)(q+3)-(3q+7)(q-9)\)
9. \((y-5)(y-4)-(2y-7)(y-5)\)
10. \((s+6)(s-7)-(4s-2)(s+6)\)
11. \((y+4)(y-4)+(4y+5)(y+4)\)
12. \((3s-7)(s+1)+(3s-7)(4s+5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((9x-4)^2+(27x-12)\\=(9x-4)(9x-4)+3(9x-4)\\=(9x-1)(9x-4)\)
2. \((b+5)(b-4)-(4b-2)(b+5)\\=(b+5)(b-4-4b+2)\\=(b+5)(-3b-2)\)
3. \((b+8)(b+9)+(2b-7)(b+8)\\=(b+8)(b+9+2b-7)\\=(b+8)(3b+2)\)
4. \((s-9)(s+4)+(4s+6)(s-9)\\=(s-9)(s+4+4s+6)\\=(s-9)(5s+10)\)
5. \((8b+5)^2+(40b+25)\\=(8b+5)(8b+5)+5(8b+5)\\=(8b+10)(8b+5)\)
6. \((2q+7)(q+7)-(2q+7)(5q+3)\\=(2q+7)(q+7-5q-3)\\=(2q+7)(-4q+4)\)
7. \((7y-3)(y+1)-(7y-3)(4y+2)\\=(7y-3)(y+1-4y-2)\\=(7y-3)(-3y-1)\)
8. \((q-9)(q+3)-(3q+7)(q-9)\\=(q-9)(q+3-3q-7)\\=(q-9)(-2q-4)\)
9. \((y-5)(y-4)-(2y-7)(y-5)\\=(y-5)(y-4-2y+7)\\=(y-5)(-y+3)\)
10. \((s+6)(s-7)-(4s-2)(s+6)\\=(s+6)(s-7-4s+2)\\=(s+6)(-3s-5)\)
11. \((y+4)(y-4)+(4y+5)(y+4)\\=(y+4)(y-4+4y+5)\\=(y+4)(5y+1)\)
12. \((3s-7)(s+1)+(3s-7)(4s+5)\\=(3s-7)(s+1+4s+5)\\=(3s-7)(5s+6)\)