Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((8y+3)^2+(24y+9)\)
2. \((6y-5)^2-(18y-15)\)
3. \((q-3)(q-6)+(4q+1)(q-3)\)
4. \((b-5)(b-3)+(5b-2)(b-5)\)
5. \((3q+9)(q-5)-(3q+9)(4q+1)\)
6. \((3p+5)(p-1)+(3p+5)(2p-1)\)
7. \((q+5)(q+4)-(5q-7)(q+5)\)
8. \((4a-3)^2+(8a-6)\)
9. \((p-5)^2+(2p-10)\)
10. \((s+6)^2-(2s+12)\)
11. \((2a+6)(a-5)+(2a+6)(5a+5)\)
12. \((7y-3)^2-(35y-15)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((8y+3)^2+(24y+9)\\=(8y+3)(8y+3)+3(8y+3)\\=(8y+6)(8y+3)\)
2. \((6y-5)^2-(18y-15)\\=(6y-5)(6y-5)-3(6y-5)\\=(6y-8)(6y-5)\)
3. \((q-3)(q-6)+(4q+1)(q-3)\\=(q-3)(q-6+4q+1)\\=(q-3)(5q-5)\)
4. \((b-5)(b-3)+(5b-2)(b-5)\\=(b-5)(b-3+5b-2)\\=(b-5)(6b-5)\)
5. \((3q+9)(q-5)-(3q+9)(4q+1)\\=(3q+9)(q-5-4q-1)\\=(3q+9)(-3q-6)\)
6. \((3p+5)(p-1)+(3p+5)(2p-1)\\=(3p+5)(p-1+2p-1)\\=(3p+5)(3p-2)\)
7. \((q+5)(q+4)-(5q-7)(q+5)\\=(q+5)(q+4-5q+7)\\=(q+5)(-4q+11)\)
8. \((4a-3)^2+(8a-6)\\=(4a-3)(4a-3)+2(4a-3)\\=(4a-1)(4a-3)\)
9. \((p-5)^2+(2p-10)\\=(p-5)(p-5)+2(p-5)\\=(p-3)(p-5)\)
10. \((s+6)^2-(2s+12)\\=(s+6)(s+6)-2(s+6)\\=(s+4)(s+6)\)
11. \((2a+6)(a-5)+(2a+6)(5a+5)\\=(2a+6)(a-5+5a+5)\\=(2a+6)(6a+0)\)
12. \((7y-3)^2-(35y-15)\\=(7y-3)(7y-3)-5(7y-3)\\=(7y-8)(7y-3)\)