Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((q-4)(q+1)+(3q-9)(q-4)\\=(q-4)(q+1+3q-9)\\=(q-4)(4q-8)\)
2. \((a+7)(a-9)+(4a-6)(a+7)\\=(a+7)(a-9+4a-6)\\=(a+7)(5a-15)\)
3. \((7s-1)(s-5)+(7s-1)(2s-3)\\=(7s-1)(s-5+2s-3)\\=(7s-1)(3s-8)\)
4. \((3b+5)(b+8)+(3b+5)(2b+6)\\=(3b+5)(b+8+2b+6)\\=(3b+5)(3b+14)\)
5. \((q-4)(q-7)+(3q-4)(q-4)\\=(q-4)(q-7+3q-4)\\=(q-4)(4q-11)\)
6. \((5p-9)(p+5)+(5p-9)(3p-9)\\=(5p-9)(p+5+3p-9)\\=(5p-9)(4p-4)\)
7. \((b+3)(b-9)+(3b+2)(b+3)\\=(b+3)(b-9+3b+2)\\=(b+3)(4b-7)\)
8. \((x-5)(x-5)-(4x-5)(x-5)\\=(x-5)(x-5-4x+5)\\=(x-5)(-3x+0)\)
9. \((y-7)(y-3)+(4y+4)(y-7)\\=(y-7)(y-3+4y+4)\\=(y-7)(5y+1)\)
10. \((5a+1)^2+(15a+3)\\=(5a+1)(5a+1)+3(5a+1)\\=(5a+4)(5a+1)\)
11. \((x-7)(x-2)-(5x+3)(x-7)\\=(x-7)(x-2-5x-3)\\=(x-7)(-4x-5)\)
12. \((4q+5)^2-(8q+10)\\=(4q+5)(4q+5)-2(4q+5)\\=(4q+3)(4q+5)\)