Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((8a+1)(a+3)-(8a+1)(5a+4)\)
2. \((p+1)(p+9)-(2p+4)(p+1)\)
3. \((4p-3)^2+(12p-9)\)
4. \((6p+5)^2+(30p+25)\)
5. \((b-6)(b+1)+(3b-7)(b-6)\)
6. \((3a+2)^2+(9a+6)\)
7. \((4b-5)(b+7)+(4b-5)(3b+4)\)
8. \((x+2)(x+5)-(4x+4)(x+2)\)
9. \((7p-3)(p+8)-(7p-3)(2p+6)\)
10. \((2q+1)^2+(10q+5)\)
11. \((p+8)(p-2)-(2p-4)(p+8)\)
12. \((8y+5)^2-(40y+25)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((8a+1)(a+3)-(8a+1)(5a+4)\\=(8a+1)(a+3-5a-4)\\=(8a+1)(-4a-1)\)
2. \((p+1)(p+9)-(2p+4)(p+1)\\=(p+1)(p+9-2p-4)\\=(p+1)(-p+5)\)
3. \((4p-3)^2+(12p-9)\\=(4p-3)(4p-3)+3(4p-3)\\=(4p+0)(4p-3)\)
4. \((6p+5)^2+(30p+25)\\=(6p+5)(6p+5)+5(6p+5)\\=(6p+10)(6p+5)\)
5. \((b-6)(b+1)+(3b-7)(b-6)\\=(b-6)(b+1+3b-7)\\=(b-6)(4b-6)\)
6. \((3a+2)^2+(9a+6)\\=(3a+2)(3a+2)+3(3a+2)\\=(3a+5)(3a+2)\)
7. \((4b-5)(b+7)+(4b-5)(3b+4)\\=(4b-5)(b+7+3b+4)\\=(4b-5)(4b+11)\)
8. \((x+2)(x+5)-(4x+4)(x+2)\\=(x+2)(x+5-4x-4)\\=(x+2)(-3x+1)\)
9. \((7p-3)(p+8)-(7p-3)(2p+6)\\=(7p-3)(p+8-2p-6)\\=(7p-3)(-p+2)\)
10. \((2q+1)^2+(10q+5)\\=(2q+1)(2q+1)+5(2q+1)\\=(2q+6)(2q+1)\)
11. \((p+8)(p-2)-(2p-4)(p+8)\\=(p+8)(p-2-2p+4)\\=(p+8)(-p+2)\)
12. \((8y+5)^2-(40y+25)\\=(8y+5)(8y+5)-5(8y+5)\\=(8y+0)(8y+5)\)