Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5q+5)(q+4)+(5q+5)(4q-8)\)
2. \((2p+7)^2+(8p+28)\)
3. \((q-5)(q-4)-(5q-8)(q-5)\)
4. \((5y-1)(y-5)+(5y-1)(4y-9)\)
5. \((9y-4)^2-(36y-16)\)
6. \((9b+4)^2-(18b+8)\)
7. \((8q+6)(q+1)+(8q+6)(3q-1)\)
8. \((2b+2)(b+7)-(2b+2)(3b-2)\)
9. \((4p-3)^2-(8p-6)\)
10. \((6a+7)^2+(30a+35)\)
11. \((9q-2)^2+(36q-8)\)
12. \((2q-2)(q-6)+(2q-2)(3q-2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5q+5)(q+4)+(5q+5)(4q-8)\\=(5q+5)(q+4+4q-8)\\=(5q+5)(5q-4)\)
2. \((2p+7)^2+(8p+28)\\=(2p+7)(2p+7)+4(2p+7)\\=(2p+11)(2p+7)\)
3. \((q-5)(q-4)-(5q-8)(q-5)\\=(q-5)(q-4-5q+8)\\=(q-5)(-4q+4)\)
4. \((5y-1)(y-5)+(5y-1)(4y-9)\\=(5y-1)(y-5+4y-9)\\=(5y-1)(5y-14)\)
5. \((9y-4)^2-(36y-16)\\=(9y-4)(9y-4)-4(9y-4)\\=(9y-8)(9y-4)\)
6. \((9b+4)^2-(18b+8)\\=(9b+4)(9b+4)-2(9b+4)\\=(9b+2)(9b+4)\)
7. \((8q+6)(q+1)+(8q+6)(3q-1)\\=(8q+6)(q+1+3q-1)\\=(8q+6)(4q+0)\)
8. \((2b+2)(b+7)-(2b+2)(3b-2)\\=(2b+2)(b+7-3b+2)\\=(2b+2)(-2b+9)\)
9. \((4p-3)^2-(8p-6)\\=(4p-3)(4p-3)-2(4p-3)\\=(4p-5)(4p-3)\)
10. \((6a+7)^2+(30a+35)\\=(6a+7)(6a+7)+5(6a+7)\\=(6a+12)(6a+7)\)
11. \((9q-2)^2+(36q-8)\\=(9q-2)(9q-2)+4(9q-2)\\=(9q+2)(9q-2)\)
12. \((2q-2)(q-6)+(2q-2)(3q-2)\\=(2q-2)(q-6+3q-2)\\=(2q-2)(4q-8)\)