Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6b+5)^2+(18b+15)\)
2. \((6s-5)^2-(30s-25)\)
3. \((s-4)(s+7)+(4s-5)(s-4)\)
4. \((a-9)(a+5)-(5a-1)(a-9)\)
5. \((a-2)(a-2)+(3a-5)(a-2)\)
6. \((7x-6)(x+1)-(7x-6)(3x-1)\)
7. \((2a+5)^2+(8a+20)\)
8. \((6b-6)(b-6)+(6b-6)(5b+1)\)
9. \((7a-6)^2+(35a-30)\)
10. \((x+6)(x-9)-(3x-9)(x+6)\)
11. \((6y-7)(y+4)+(6y-7)(5y+2)\)
12. \((a+2)(a-9)-(3a-6)(a+2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6b+5)^2+(18b+15)\\=(6b+5)(6b+5)+3(6b+5)\\=(6b+8)(6b+5)\)
2. \((6s-5)^2-(30s-25)\\=(6s-5)(6s-5)-5(6s-5)\\=(6s-10)(6s-5)\)
3. \((s-4)(s+7)+(4s-5)(s-4)\\=(s-4)(s+7+4s-5)\\=(s-4)(5s+2)\)
4. \((a-9)(a+5)-(5a-1)(a-9)\\=(a-9)(a+5-5a+1)\\=(a-9)(-4a+6)\)
5. \((a-2)(a-2)+(3a-5)(a-2)\\=(a-2)(a-2+3a-5)\\=(a-2)(4a-7)\)
6. \((7x-6)(x+1)-(7x-6)(3x-1)\\=(7x-6)(x+1-3x+1)\\=(7x-6)(-2x+2)\)
7. \((2a+5)^2+(8a+20)\\=(2a+5)(2a+5)+4(2a+5)\\=(2a+9)(2a+5)\)
8. \((6b-6)(b-6)+(6b-6)(5b+1)\\=(6b-6)(b-6+5b+1)\\=(6b-6)(6b-5)\)
9. \((7a-6)^2+(35a-30)\\=(7a-6)(7a-6)+5(7a-6)\\=(7a-1)(7a-6)\)
10. \((x+6)(x-9)-(3x-9)(x+6)\\=(x+6)(x-9-3x+9)\\=(x+6)(-2x+0)\)
11. \((6y-7)(y+4)+(6y-7)(5y+2)\\=(6y-7)(y+4+5y+2)\\=(6y-7)(6y+6)\)
12. \((a+2)(a-9)-(3a-6)(a+2)\\=(a+2)(a-9-3a+6)\\=(a+2)(-2a-3)\)