Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((s-1)(s+9)-(4s+3)(s-1)\)
2. \((7s+8)(s-9)-(7s+8)(3s-8)\)
3. \((3a-4)(a-7)+(3a-4)(4a+7)\)
4. \((p-9)(p+1)+(2p-4)(p-9)\)
5. \((2p+3)(p+4)-(2p+3)(3p-3)\)
6. \((4q+1)^2-(16q+4)\)
7. \((3x+8)^2+(9x+24)\)
8. \((7p-8)(p+5)-(7p-8)(5p+5)\)
9. \((8b+3)^2-(32b+12)\)
10. \((4y-3)^2+(20y-15)\)
11. \((b+3)(b-7)+(3b+2)(b+3)\)
12. \((7q-6)^2-(28q-24)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((s-1)(s+9)-(4s+3)(s-1)\\=(s-1)(s+9-4s-3)\\=(s-1)(-3s+6)\)
2. \((7s+8)(s-9)-(7s+8)(3s-8)\\=(7s+8)(s-9-3s+8)\\=(7s+8)(-2s-1)\)
3. \((3a-4)(a-7)+(3a-4)(4a+7)\\=(3a-4)(a-7+4a+7)\\=(3a-4)(5a+0)\)
4. \((p-9)(p+1)+(2p-4)(p-9)\\=(p-9)(p+1+2p-4)\\=(p-9)(3p-3)\)
5. \((2p+3)(p+4)-(2p+3)(3p-3)\\=(2p+3)(p+4-3p+3)\\=(2p+3)(-2p+7)\)
6. \((4q+1)^2-(16q+4)\\=(4q+1)(4q+1)-4(4q+1)\\=(4q-3)(4q+1)\)
7. \((3x+8)^2+(9x+24)\\=(3x+8)(3x+8)+3(3x+8)\\=(3x+11)(3x+8)\)
8. \((7p-8)(p+5)-(7p-8)(5p+5)\\=(7p-8)(p+5-5p-5)\\=(7p-8)(-4p+0)\)
9. \((8b+3)^2-(32b+12)\\=(8b+3)(8b+3)-4(8b+3)\\=(8b-1)(8b+3)\)
10. \((4y-3)^2+(20y-15)\\=(4y-3)(4y-3)+5(4y-3)\\=(4y+2)(4y-3)\)
11. \((b+3)(b-7)+(3b+2)(b+3)\\=(b+3)(b-7+3b+2)\\=(b+3)(4b-5)\)
12. \((7q-6)^2-(28q-24)\\=(7q-6)(7q-6)-4(7q-6)\\=(7q-10)(7q-6)\)