Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((s+8)(s+1)+(4s-2)(s+8)\)
2. \((y+7)(y-4)-(5y-1)(y+7)\)
3. \((7p+6)(p-3)+(7p+6)(5p+5)\)
4. \((3x+4)(x-8)-(3x+4)(2x+6)\)
5. \((y+2)(y+4)-(2y-3)(y+2)\)
6. \((9p+2)^2-(18p+4)\)
7. \((a+6)^2+(2a+12)\)
8. \((x+5)(x-7)-(5x-6)(x+5)\)
9. \((6s-5)^2-(30s-25)\)
10. \((a+7)(a+6)-(3a-4)(a+7)\)
11. \((5q-4)^2+(15q-12)\)
12. \((3p+9)(p-6)+(3p+9)(4p-5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((s+8)(s+1)+(4s-2)(s+8)\\=(s+8)(s+1+4s-2)\\=(s+8)(5s-1)\)
2. \((y+7)(y-4)-(5y-1)(y+7)\\=(y+7)(y-4-5y+1)\\=(y+7)(-4y-3)\)
3. \((7p+6)(p-3)+(7p+6)(5p+5)\\=(7p+6)(p-3+5p+5)\\=(7p+6)(6p+2)\)
4. \((3x+4)(x-8)-(3x+4)(2x+6)\\=(3x+4)(x-8-2x-6)\\=(3x+4)(-x-14)\)
5. \((y+2)(y+4)-(2y-3)(y+2)\\=(y+2)(y+4-2y+3)\\=(y+2)(-y+7)\)
6. \((9p+2)^2-(18p+4)\\=(9p+2)(9p+2)-2(9p+2)\\=(9p+0)(9p+2)\)
7. \((a+6)^2+(2a+12)\\=(a+6)(a+6)+2(a+6)\\=(a+8)(a+6)\)
8. \((x+5)(x-7)-(5x-6)(x+5)\\=(x+5)(x-7-5x+6)\\=(x+5)(-4x-1)\)
9. \((6s-5)^2-(30s-25)\\=(6s-5)(6s-5)-5(6s-5)\\=(6s-10)(6s-5)\)
10. \((a+7)(a+6)-(3a-4)(a+7)\\=(a+7)(a+6-3a+4)\\=(a+7)(-2a+10)\)
11. \((5q-4)^2+(15q-12)\\=(5q-4)(5q-4)+3(5q-4)\\=(5q-1)(5q-4)\)
12. \((3p+9)(p-6)+(3p+9)(4p-5)\\=(3p+9)(p-6+4p-5)\\=(3p+9)(5p-11)\)