Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3b-5)^2-(12b-20)\)
2. \((7b-9)(b-4)+(7b-9)(5b-6)\)
3. \((3q-3)(q-4)-(3q-3)(4q+7)\)
4. \((4s-7)^2-(16s-28)\)
5. \((a+5)(a-5)-(4a-9)(a+5)\)
6. \((3p-5)(p+4)-(3p-5)(2p+3)\)
7. \((6y+5)^2-(12y+10)\)
8. \((3b-2)^2-(12b-8)\)
9. \((s+7)(s-9)-(3s-4)(s+7)\)
10. \((6b+1)^2-(24b+4)\)
11. \((x-2)(x-3)+(3x+8)(x-2)\)
12. \((8b-1)(b-2)+(8b-1)(5b+1)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3b-5)^2-(12b-20)\\=(3b-5)(3b-5)-4(3b-5)\\=(3b-9)(3b-5)\)
2. \((7b-9)(b-4)+(7b-9)(5b-6)\\=(7b-9)(b-4+5b-6)\\=(7b-9)(6b-10)\)
3. \((3q-3)(q-4)-(3q-3)(4q+7)\\=(3q-3)(q-4-4q-7)\\=(3q-3)(-3q-11)\)
4. \((4s-7)^2-(16s-28)\\=(4s-7)(4s-7)-4(4s-7)\\=(4s-11)(4s-7)\)
5. \((a+5)(a-5)-(4a-9)(a+5)\\=(a+5)(a-5-4a+9)\\=(a+5)(-3a+4)\)
6. \((3p-5)(p+4)-(3p-5)(2p+3)\\=(3p-5)(p+4-2p-3)\\=(3p-5)(-p+1)\)
7. \((6y+5)^2-(12y+10)\\=(6y+5)(6y+5)-2(6y+5)\\=(6y+3)(6y+5)\)
8. \((3b-2)^2-(12b-8)\\=(3b-2)(3b-2)-4(3b-2)\\=(3b-6)(3b-2)\)
9. \((s+7)(s-9)-(3s-4)(s+7)\\=(s+7)(s-9-3s+4)\\=(s+7)(-2s-5)\)
10. \((6b+1)^2-(24b+4)\\=(6b+1)(6b+1)-4(6b+1)\\=(6b-3)(6b+1)\)
11. \((x-2)(x-3)+(3x+8)(x-2)\\=(x-2)(x-3+3x+8)\\=(x-2)(4x+5)\)
12. \((8b-1)(b-2)+(8b-1)(5b+1)\\=(8b-1)(b-2+5b+1)\\=(8b-1)(6b-1)\)