Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((p-9)(p+3)-(2p-1)(p-9)\)
2. \((3p+2)(p+2)-(3p+2)(2p-5)\)
3. \((5p-4)^2-(15p-12)\)
4. \((5x-7)^2-(10x-14)\)
5. \((8p-5)^2+(40p-25)\)
6. \((2p+5)(p-3)+(2p+5)(5p-7)\)
7. \((3x-4)(x+1)+(3x-4)(5x-8)\)
8. \((2a+5)^2+(6a+15)\)
9. \((3s+4)^2+(12s+16)\)
10. \((s-3)^2+(4s-12)\)
11. \((3s+3)(s-2)+(3s+3)(2s-2)\)
12. \((x-4)(x-1)+(3x+1)(x-4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((p-9)(p+3)-(2p-1)(p-9)\\=(p-9)(p+3-2p+1)\\=(p-9)(-p+4)\)
2. \((3p+2)(p+2)-(3p+2)(2p-5)\\=(3p+2)(p+2-2p+5)\\=(3p+2)(-p+7)\)
3. \((5p-4)^2-(15p-12)\\=(5p-4)(5p-4)-3(5p-4)\\=(5p-7)(5p-4)\)
4. \((5x-7)^2-(10x-14)\\=(5x-7)(5x-7)-2(5x-7)\\=(5x-9)(5x-7)\)
5. \((8p-5)^2+(40p-25)\\=(8p-5)(8p-5)+5(8p-5)\\=(8p+0)(8p-5)\)
6. \((2p+5)(p-3)+(2p+5)(5p-7)\\=(2p+5)(p-3+5p-7)\\=(2p+5)(6p-10)\)
7. \((3x-4)(x+1)+(3x-4)(5x-8)\\=(3x-4)(x+1+5x-8)\\=(3x-4)(6x-7)\)
8. \((2a+5)^2+(6a+15)\\=(2a+5)(2a+5)+3(2a+5)\\=(2a+8)(2a+5)\)
9. \((3s+4)^2+(12s+16)\\=(3s+4)(3s+4)+4(3s+4)\\=(3s+8)(3s+4)\)
10. \((s-3)^2+(4s-12)\\=(s-3)(s-3)+4(s-3)\\=(s+1)(s-3)\)
11. \((3s+3)(s-2)+(3s+3)(2s-2)\\=(3s+3)(s-2+2s-2)\\=(3s+3)(3s-4)\)
12. \((x-4)(x-1)+(3x+1)(x-4)\\=(x-4)(x-1+3x+1)\\=(x-4)(4x+0)\)