Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5s-4)^2+(20s-16)\)
2. \((5x-2)(x+3)-(5x-2)(2x+4)\)
3. \((x-7)(x+3)+(5x-3)(x-7)\)
4. \((3q-8)^2-(15q-40)\)
5. \((x+8)(x-3)+(4x-5)(x+8)\)
6. \((6p+1)^2+(24p+4)\)
7. \((5b-5)(b+4)-(5b-5)(3b+2)\)
8. \((3b-9)(b+8)+(3b-9)(2b+6)\)
9. \((5a-8)(a-9)+(5a-8)(4a+5)\)
10. \((7p+1)(p-4)-(7p+1)(5p-3)\)
11. \((2x+1)^2+(4x+2)\)
12. \((b+3)(b+3)+(5b-7)(b+3)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5s-4)^2+(20s-16)\\=(5s-4)(5s-4)+4(5s-4)\\=(5s+0)(5s-4)\)
2. \((5x-2)(x+3)-(5x-2)(2x+4)\\=(5x-2)(x+3-2x-4)\\=(5x-2)(-x-1)\)
3. \((x-7)(x+3)+(5x-3)(x-7)\\=(x-7)(x+3+5x-3)\\=(x-7)(6x+0)\)
4. \((3q-8)^2-(15q-40)\\=(3q-8)(3q-8)-5(3q-8)\\=(3q-13)(3q-8)\)
5. \((x+8)(x-3)+(4x-5)(x+8)\\=(x+8)(x-3+4x-5)\\=(x+8)(5x-8)\)
6. \((6p+1)^2+(24p+4)\\=(6p+1)(6p+1)+4(6p+1)\\=(6p+5)(6p+1)\)
7. \((5b-5)(b+4)-(5b-5)(3b+2)\\=(5b-5)(b+4-3b-2)\\=(5b-5)(-2b+2)\)
8. \((3b-9)(b+8)+(3b-9)(2b+6)\\=(3b-9)(b+8+2b+6)\\=(3b-9)(3b+14)\)
9. \((5a-8)(a-9)+(5a-8)(4a+5)\\=(5a-8)(a-9+4a+5)\\=(5a-8)(5a-4)\)
10. \((7p+1)(p-4)-(7p+1)(5p-3)\\=(7p+1)(p-4-5p+3)\\=(7p+1)(-4p-1)\)
11. \((2x+1)^2+(4x+2)\\=(2x+1)(2x+1)+2(2x+1)\\=(2x+3)(2x+1)\)
12. \((b+3)(b+3)+(5b-7)(b+3)\\=(b+3)(b+3+5b-7)\\=(b+3)(6b-4)\)