Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6b+9)(b+3)+(6b+9)(5b-1)\)
2. \((b+3)(b-5)-(5b-6)(b+3)\)
3. \((5q+6)(q+3)-(5q+6)(4q-9)\)
4. \((4s+6)(s-4)-(4s+6)(3s-5)\)
5. \((2a+8)(a-7)-(2a+8)(3a+8)\)
6. \((3y-1)(y+9)-(3y-1)(2y+7)\)
7. \((2p+7)^2-(6p+21)\)
8. \((7q-6)^2+(28q-24)\)
9. \((3q-8)(q-6)+(3q-8)(2q+6)\)
10. \((3a-4)(a-9)+(3a-4)(4a-5)\)
11. \((5y-3)(y-2)+(5y-3)(4y+1)\)
12. \((s+8)(s-5)+(2s-6)(s+8)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6b+9)(b+3)+(6b+9)(5b-1)\\=(6b+9)(b+3+5b-1)\\=(6b+9)(6b+2)\)
2. \((b+3)(b-5)-(5b-6)(b+3)\\=(b+3)(b-5-5b+6)\\=(b+3)(-4b+1)\)
3. \((5q+6)(q+3)-(5q+6)(4q-9)\\=(5q+6)(q+3-4q+9)\\=(5q+6)(-3q+12)\)
4. \((4s+6)(s-4)-(4s+6)(3s-5)\\=(4s+6)(s-4-3s+5)\\=(4s+6)(-2s+1)\)
5. \((2a+8)(a-7)-(2a+8)(3a+8)\\=(2a+8)(a-7-3a-8)\\=(2a+8)(-2a-15)\)
6. \((3y-1)(y+9)-(3y-1)(2y+7)\\=(3y-1)(y+9-2y-7)\\=(3y-1)(-y+2)\)
7. \((2p+7)^2-(6p+21)\\=(2p+7)(2p+7)-3(2p+7)\\=(2p+4)(2p+7)\)
8. \((7q-6)^2+(28q-24)\\=(7q-6)(7q-6)+4(7q-6)\\=(7q-2)(7q-6)\)
9. \((3q-8)(q-6)+(3q-8)(2q+6)\\=(3q-8)(q-6+2q+6)\\=(3q-8)(3q+0)\)
10. \((3a-4)(a-9)+(3a-4)(4a-5)\\=(3a-4)(a-9+4a-5)\\=(3a-4)(5a-14)\)
11. \((5y-3)(y-2)+(5y-3)(4y+1)\\=(5y-3)(y-2+4y+1)\\=(5y-3)(5y-1)\)
12. \((s+8)(s-5)+(2s-6)(s+8)\\=(s+8)(s-5+2s-6)\\=(s+8)(3s-11)\)