Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((9s-2)^2-(36s-8)\)
2. \((7q-9)^2+(35q-45)\)
3. \((b+2)(b-4)+(5b-3)(b+2)\)
4. \((3x-5)^2-(12x-20)\)
5. \((4q-1)(q+7)+(4q-1)(3q+2)\)
6. \((q-5)(q+5)+(2q+1)(q-5)\)
7. \((8y-7)^2+(40y-35)\)
8. \((3a+7)^2+(15a+35)\)
9. \((6p+1)^2-(18p+3)\)
10. \((7s+1)^2+(21s+3)\)
11. \((9b-4)^2-(36b-16)\)
12. \((s-9)(s+4)-(3s+1)(s-9)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((9s-2)^2-(36s-8)\\=(9s-2)(9s-2)-4(9s-2)\\=(9s-6)(9s-2)\)
2. \((7q-9)^2+(35q-45)\\=(7q-9)(7q-9)+5(7q-9)\\=(7q-4)(7q-9)\)
3. \((b+2)(b-4)+(5b-3)(b+2)\\=(b+2)(b-4+5b-3)\\=(b+2)(6b-7)\)
4. \((3x-5)^2-(12x-20)\\=(3x-5)(3x-5)-4(3x-5)\\=(3x-9)(3x-5)\)
5. \((4q-1)(q+7)+(4q-1)(3q+2)\\=(4q-1)(q+7+3q+2)\\=(4q-1)(4q+9)\)
6. \((q-5)(q+5)+(2q+1)(q-5)\\=(q-5)(q+5+2q+1)\\=(q-5)(3q+6)\)
7. \((8y-7)^2+(40y-35)\\=(8y-7)(8y-7)+5(8y-7)\\=(8y-2)(8y-7)\)
8. \((3a+7)^2+(15a+35)\\=(3a+7)(3a+7)+5(3a+7)\\=(3a+12)(3a+7)\)
9. \((6p+1)^2-(18p+3)\\=(6p+1)(6p+1)-3(6p+1)\\=(6p-2)(6p+1)\)
10. \((7s+1)^2+(21s+3)\\=(7s+1)(7s+1)+3(7s+1)\\=(7s+4)(7s+1)\)
11. \((9b-4)^2-(36b-16)\\=(9b-4)(9b-4)-4(9b-4)\\=(9b-8)(9b-4)\)
12. \((s-9)(s+4)-(3s+1)(s-9)\\=(s-9)(s+4-3s-1)\\=(s-9)(-2s+3)\)