Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((x+2)(x+1)-(2x+3)(x+2)\)
2. \((7s-3)^2-(35s-15)\)
3. \((8y+3)^2+(40y+15)\)
4. \((x+2)(x+2)+(4x-2)(x+2)\)
5. \((x+9)(x-8)-(5x-1)(x+9)\)
6. \((7y+3)(y+5)+(7y+3)(5y+9)\)
7. \((7p+6)^2+(21p+18)\)
8. \((7x+5)^2-(21x+15)\)
9. \((5q-4)^2+(20q-16)\)
10. \((a+1)(a+3)-(3a-6)(a+1)\)
11. \((7s+1)^2-(28s+4)\)
12. \((b+6)(b-4)-(3b-7)(b+6)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((x+2)(x+1)-(2x+3)(x+2)\\=(x+2)(x+1-2x-3)\\=(x+2)(-x-2)\)
2. \((7s-3)^2-(35s-15)\\=(7s-3)(7s-3)-5(7s-3)\\=(7s-8)(7s-3)\)
3. \((8y+3)^2+(40y+15)\\=(8y+3)(8y+3)+5(8y+3)\\=(8y+8)(8y+3)\)
4. \((x+2)(x+2)+(4x-2)(x+2)\\=(x+2)(x+2+4x-2)\\=(x+2)(5x+0)\)
5. \((x+9)(x-8)-(5x-1)(x+9)\\=(x+9)(x-8-5x+1)\\=(x+9)(-4x-7)\)
6. \((7y+3)(y+5)+(7y+3)(5y+9)\\=(7y+3)(y+5+5y+9)\\=(7y+3)(6y+14)\)
7. \((7p+6)^2+(21p+18)\\=(7p+6)(7p+6)+3(7p+6)\\=(7p+9)(7p+6)\)
8. \((7x+5)^2-(21x+15)\\=(7x+5)(7x+5)-3(7x+5)\\=(7x+2)(7x+5)\)
9. \((5q-4)^2+(20q-16)\\=(5q-4)(5q-4)+4(5q-4)\\=(5q+0)(5q-4)\)
10. \((a+1)(a+3)-(3a-6)(a+1)\\=(a+1)(a+3-3a+6)\\=(a+1)(-2a+9)\)
11. \((7s+1)^2-(28s+4)\\=(7s+1)(7s+1)-4(7s+1)\\=(7s-3)(7s+1)\)
12. \((b+6)(b-4)-(3b-7)(b+6)\\=(b+6)(b-4-3b+7)\\=(b+6)(-2b+3)\)