Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6x-5)^2+(24x-20)\)
2. \((9s+1)^2-(36s+4)\)
3. \((7y+3)^2+(28y+12)\)
4. \((7b-1)(b+2)-(7b-1)(4b+8)\)
5. \((9y-2)^2-(27y-6)\)
6. \((4y-7)^2+(12y-21)\)
7. \((6s+1)^2+(30s+5)\)
8. \((2q+2)(q+7)+(2q+2)(5q+4)\)
9. \((s+9)(s-8)-(2s+1)(s+9)\)
10. \((x-5)(x-5)+(5x+8)(x-5)\)
11. \((p-2)(p+8)-(3p+2)(p-2)\)
12. \((a-5)(a+9)-(3a-6)(a-5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6x-5)^2+(24x-20)\\=(6x-5)(6x-5)+4(6x-5)\\=(6x-1)(6x-5)\)
2. \((9s+1)^2-(36s+4)\\=(9s+1)(9s+1)-4(9s+1)\\=(9s-3)(9s+1)\)
3. \((7y+3)^2+(28y+12)\\=(7y+3)(7y+3)+4(7y+3)\\=(7y+7)(7y+3)\)
4. \((7b-1)(b+2)-(7b-1)(4b+8)\\=(7b-1)(b+2-4b-8)\\=(7b-1)(-3b-6)\)
5. \((9y-2)^2-(27y-6)\\=(9y-2)(9y-2)-3(9y-2)\\=(9y-5)(9y-2)\)
6. \((4y-7)^2+(12y-21)\\=(4y-7)(4y-7)+3(4y-7)\\=(4y-4)(4y-7)\)
7. \((6s+1)^2+(30s+5)\\=(6s+1)(6s+1)+5(6s+1)\\=(6s+6)(6s+1)\)
8. \((2q+2)(q+7)+(2q+2)(5q+4)\\=(2q+2)(q+7+5q+4)\\=(2q+2)(6q+11)\)
9. \((s+9)(s-8)-(2s+1)(s+9)\\=(s+9)(s-8-2s-1)\\=(s+9)(-s-9)\)
10. \((x-5)(x-5)+(5x+8)(x-5)\\=(x-5)(x-5+5x+8)\\=(x-5)(6x+3)\)
11. \((p-2)(p+8)-(3p+2)(p-2)\\=(p-2)(p+8-3p-2)\\=(p-2)(-2p+6)\)
12. \((a-5)(a+9)-(3a-6)(a-5)\\=(a-5)(a+9-3a+6)\\=(a-5)(-2a+15)\)