Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3b-8)^2-(6b-16)\)
2. \((y-9)(y-4)-(5y-8)(y-9)\)
3. \((9y+5)^2-(27y+15)\)
4. \((3y+5)(y-3)-(3y+5)(2y+4)\)
5. \((x+7)(x+7)+(2x+7)(x+7)\)
6. \((7q-8)(q-7)+(7q-8)(3q-9)\)
7. \((8s-7)^2+(24s-21)\)
8. \((7x-4)(x-1)-(7x-4)(4x+9)\)
9. \((4s+2)(s-3)-(4s+2)(3s-4)\)
10. \((7s-1)(s-8)-(7s-1)(3s+5)\)
11. \((4x+3)(x+7)+(4x+3)(5x-3)\)
12. \((4y-1)(y-2)+(4y-1)(3y-5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3b-8)^2-(6b-16)\\=(3b-8)(3b-8)-2(3b-8)\\=(3b-10)(3b-8)\)
2. \((y-9)(y-4)-(5y-8)(y-9)\\=(y-9)(y-4-5y+8)\\=(y-9)(-4y+4)\)
3. \((9y+5)^2-(27y+15)\\=(9y+5)(9y+5)-3(9y+5)\\=(9y+2)(9y+5)\)
4. \((3y+5)(y-3)-(3y+5)(2y+4)\\=(3y+5)(y-3-2y-4)\\=(3y+5)(-y-7)\)
5. \((x+7)(x+7)+(2x+7)(x+7)\\=(x+7)(x+7+2x+7)\\=(x+7)(3x+14)\)
6. \((7q-8)(q-7)+(7q-8)(3q-9)\\=(7q-8)(q-7+3q-9)\\=(7q-8)(4q-16)\)
7. \((8s-7)^2+(24s-21)\\=(8s-7)(8s-7)+3(8s-7)\\=(8s-4)(8s-7)\)
8. \((7x-4)(x-1)-(7x-4)(4x+9)\\=(7x-4)(x-1-4x-9)\\=(7x-4)(-3x-10)\)
9. \((4s+2)(s-3)-(4s+2)(3s-4)\\=(4s+2)(s-3-3s+4)\\=(4s+2)(-2s+1)\)
10. \((7s-1)(s-8)-(7s-1)(3s+5)\\=(7s-1)(s-8-3s-5)\\=(7s-1)(-2s-13)\)
11. \((4x+3)(x+7)+(4x+3)(5x-3)\\=(4x+3)(x+7+5x-3)\\=(4x+3)(6x+4)\)
12. \((4y-1)(y-2)+(4y-1)(3y-5)\\=(4y-1)(y-2+3y-5)\\=(4y-1)(4y-7)\)