Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((p-8)(p+1)+(2p-9)(p-8)\)
2. \((x-6)(x+3)-(5x+7)(x-6)\)
3. \((4q+7)^2+(8q+14)\)
4. \((8s-1)(s-1)+(8s-1)(5s-1)\)
5. \((3q-2)^2+(6q-4)\)
6. \((a-4)(a+7)-(4a-5)(a-4)\)
7. \((4q+5)^2-(8q+10)\)
8. \((p-2)(p-1)-(4p+8)(p-2)\)
9. \((3x+5)^2+(12x+20)\)
10. \((2a+1)^2+(8a+4)\)
11. \((7a+4)(a+8)+(7a+4)(5a-9)\)
12. \((a-2)(a-9)-(5a+6)(a-2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((p-8)(p+1)+(2p-9)(p-8)\\=(p-8)(p+1+2p-9)\\=(p-8)(3p-8)\)
2. \((x-6)(x+3)-(5x+7)(x-6)\\=(x-6)(x+3-5x-7)\\=(x-6)(-4x-4)\)
3. \((4q+7)^2+(8q+14)\\=(4q+7)(4q+7)+2(4q+7)\\=(4q+9)(4q+7)\)
4. \((8s-1)(s-1)+(8s-1)(5s-1)\\=(8s-1)(s-1+5s-1)\\=(8s-1)(6s-2)\)
5. \((3q-2)^2+(6q-4)\\=(3q-2)(3q-2)+2(3q-2)\\=(3q+0)(3q-2)\)
6. \((a-4)(a+7)-(4a-5)(a-4)\\=(a-4)(a+7-4a+5)\\=(a-4)(-3a+12)\)
7. \((4q+5)^2-(8q+10)\\=(4q+5)(4q+5)-2(4q+5)\\=(4q+3)(4q+5)\)
8. \((p-2)(p-1)-(4p+8)(p-2)\\=(p-2)(p-1-4p-8)\\=(p-2)(-3p-9)\)
9. \((3x+5)^2+(12x+20)\\=(3x+5)(3x+5)+4(3x+5)\\=(3x+9)(3x+5)\)
10. \((2a+1)^2+(8a+4)\\=(2a+1)(2a+1)+4(2a+1)\\=(2a+5)(2a+1)\)
11. \((7a+4)(a+8)+(7a+4)(5a-9)\\=(7a+4)(a+8+5a-9)\\=(7a+4)(6a-1)\)
12. \((a-2)(a-9)-(5a+6)(a-2)\\=(a-2)(a-9-5a-6)\\=(a-2)(-4a-15)\)