Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((2y+2)(y+7)+(2y+2)(3y+8)\)
2. \((5s-4)(s+3)-(5s-4)(2s-3)\)
3. \((6s-5)^2+(30s-25)\)
4. \((9p-8)^2+(45p-40)\)
5. \((3b+2)(b-9)+(3b+2)(2b-5)\)
6. \((b+3)(b+9)-(5b+3)(b+3)\)
7. \((b+1)(b-1)-(4b-9)(b+1)\)
8. \((2a+1)^2+(8a+4)\)
9. \((3s-9)(s+6)+(3s-9)(4s-7)\)
10. \((2s-8)(s+6)-(2s-8)(3s-3)\)
11. \((8y+1)^2+(40y+5)\)
12. \((a-7)(a-8)-(4a-6)(a-7)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((2y+2)(y+7)+(2y+2)(3y+8)\\=(2y+2)(y+7+3y+8)\\=(2y+2)(4y+15)\)
2. \((5s-4)(s+3)-(5s-4)(2s-3)\\=(5s-4)(s+3-2s+3)\\=(5s-4)(-s+6)\)
3. \((6s-5)^2+(30s-25)\\=(6s-5)(6s-5)+5(6s-5)\\=(6s+0)(6s-5)\)
4. \((9p-8)^2+(45p-40)\\=(9p-8)(9p-8)+5(9p-8)\\=(9p-3)(9p-8)\)
5. \((3b+2)(b-9)+(3b+2)(2b-5)\\=(3b+2)(b-9+2b-5)\\=(3b+2)(3b-14)\)
6. \((b+3)(b+9)-(5b+3)(b+3)\\=(b+3)(b+9-5b-3)\\=(b+3)(-4b+6)\)
7. \((b+1)(b-1)-(4b-9)(b+1)\\=(b+1)(b-1-4b+9)\\=(b+1)(-3b+8)\)
8. \((2a+1)^2+(8a+4)\\=(2a+1)(2a+1)+4(2a+1)\\=(2a+5)(2a+1)\)
9. \((3s-9)(s+6)+(3s-9)(4s-7)\\=(3s-9)(s+6+4s-7)\\=(3s-9)(5s-1)\)
10. \((2s-8)(s+6)-(2s-8)(3s-3)\\=(2s-8)(s+6-3s+3)\\=(2s-8)(-2s+9)\)
11. \((8y+1)^2+(40y+5)\\=(8y+1)(8y+1)+5(8y+1)\\=(8y+6)(8y+1)\)
12. \((a-7)(a-8)-(4a-6)(a-7)\\=(a-7)(a-8-4a+6)\\=(a-7)(-3a-2)\)