Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5a+2)(a+5)-(5a+2)(2a+2)\)
2. \((s-7)(s-6)+(5s-2)(s-7)\)
3. \((a-5)(a+5)-(5a+1)(a-5)\)
4. \((y+7)(y-1)-(3y+6)(y+7)\)
5. \((3p+3)(p-2)+(3p+3)(4p+3)\)
6. \((4q-3)^2-(16q-12)\)
7. \((3p+4)(p+3)+(3p+4)(2p+3)\)
8. \((8q+1)^2-(16q+2)\)
9. \((7q+2)^2-(21q+6)\)
10. \((p+9)(p+9)-(2p+6)(p+9)\)
11. \((8y-7)^2-(24y-21)\)
12. \((7a+1)(a-4)+(7a+1)(2a+6)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5a+2)(a+5)-(5a+2)(2a+2)\\=(5a+2)(a+5-2a-2)\\=(5a+2)(-a+3)\)
2. \((s-7)(s-6)+(5s-2)(s-7)\\=(s-7)(s-6+5s-2)\\=(s-7)(6s-8)\)
3. \((a-5)(a+5)-(5a+1)(a-5)\\=(a-5)(a+5-5a-1)\\=(a-5)(-4a+4)\)
4. \((y+7)(y-1)-(3y+6)(y+7)\\=(y+7)(y-1-3y-6)\\=(y+7)(-2y-7)\)
5. \((3p+3)(p-2)+(3p+3)(4p+3)\\=(3p+3)(p-2+4p+3)\\=(3p+3)(5p+1)\)
6. \((4q-3)^2-(16q-12)\\=(4q-3)(4q-3)-4(4q-3)\\=(4q-7)(4q-3)\)
7. \((3p+4)(p+3)+(3p+4)(2p+3)\\=(3p+4)(p+3+2p+3)\\=(3p+4)(3p+6)\)
8. \((8q+1)^2-(16q+2)\\=(8q+1)(8q+1)-2(8q+1)\\=(8q-1)(8q+1)\)
9. \((7q+2)^2-(21q+6)\\=(7q+2)(7q+2)-3(7q+2)\\=(7q-1)(7q+2)\)
10. \((p+9)(p+9)-(2p+6)(p+9)\\=(p+9)(p+9-2p-6)\\=(p+9)(-p+3)\)
11. \((8y-7)^2-(24y-21)\\=(8y-7)(8y-7)-3(8y-7)\\=(8y-10)(8y-7)\)
12. \((7a+1)(a-4)+(7a+1)(2a+6)\\=(7a+1)(a-4+2a+6)\\=(7a+1)(3a+2)\)