Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((7p+3)(p+7)+(7p+3)(5p+3)\)
2. \((a+4)(a+5)+(3a+3)(a+4)\)
3. \((3q-3)(q+5)-(3q-3)(2q+6)\)
4. \((a+2)(a-6)-(3a-6)(a+2)\)
5. \((x-9)(x-7)+(3x+5)(x-9)\)
6. \((7b+5)^2-(14b+10)\)
7. \((6p-5)^2+(30p-25)\)
8. \((7y+7)(y+9)+(7y+7)(3y-6)\)
9. \((5a+2)(a+3)+(5a+2)(4a-1)\)
10. \((b+9)(b-7)-(2b-9)(b+9)\)
11. \((b+3)(b+4)-(4b-3)(b+3)\)
12. \((x+2)(x+5)+(3x+4)(x+2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((7p+3)(p+7)+(7p+3)(5p+3)\\=(7p+3)(p+7+5p+3)\\=(7p+3)(6p+10)\)
2. \((a+4)(a+5)+(3a+3)(a+4)\\=(a+4)(a+5+3a+3)\\=(a+4)(4a+8)\)
3. \((3q-3)(q+5)-(3q-3)(2q+6)\\=(3q-3)(q+5-2q-6)\\=(3q-3)(-q-1)\)
4. \((a+2)(a-6)-(3a-6)(a+2)\\=(a+2)(a-6-3a+6)\\=(a+2)(-2a+0)\)
5. \((x-9)(x-7)+(3x+5)(x-9)\\=(x-9)(x-7+3x+5)\\=(x-9)(4x-2)\)
6. \((7b+5)^2-(14b+10)\\=(7b+5)(7b+5)-2(7b+5)\\=(7b+3)(7b+5)\)
7. \((6p-5)^2+(30p-25)\\=(6p-5)(6p-5)+5(6p-5)\\=(6p+0)(6p-5)\)
8. \((7y+7)(y+9)+(7y+7)(3y-6)\\=(7y+7)(y+9+3y-6)\\=(7y+7)(4y+3)\)
9. \((5a+2)(a+3)+(5a+2)(4a-1)\\=(5a+2)(a+3+4a-1)\\=(5a+2)(5a+2)\)
10. \((b+9)(b-7)-(2b-9)(b+9)\\=(b+9)(b-7-2b+9)\\=(b+9)(-b+2)\)
11. \((b+3)(b+4)-(4b-3)(b+3)\\=(b+3)(b+4-4b+3)\\=(b+3)(-3b+7)\)
12. \((x+2)(x+5)+(3x+4)(x+2)\\=(x+2)(x+5+3x+4)\\=(x+2)(4x+9)\)