Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((x-3)(x-2)-(3x+8)(x-3)\)
2. \((2b+1)^2-(6b+3)\)
3. \((6p-5)^2+(18p-15)\)
4. \((3q+8)(q-4)+(3q+8)(4q-7)\)
5. \((4a+8)(a-7)-(4a+8)(5a-9)\)
6. \((3x-3)(x+6)-(3x-3)(4x-1)\)
7. \((7a-7)(a+4)-(7a-7)(5a-4)\)
8. \((y-7)(y-9)+(3y+7)(y-7)\)
9. \((8q-7)^2+(16q-14)\)
10. \((5s-9)(s+8)-(5s-9)(2s-4)\)
11. \((7x+2)^2+(21x+6)\)
12. \((3s+5)(s+8)+(3s+5)(5s+5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((x-3)(x-2)-(3x+8)(x-3)\\=(x-3)(x-2-3x-8)\\=(x-3)(-2x-10)\)
2. \((2b+1)^2-(6b+3)\\=(2b+1)(2b+1)-3(2b+1)\\=(2b-2)(2b+1)\)
3. \((6p-5)^2+(18p-15)\\=(6p-5)(6p-5)+3(6p-5)\\=(6p-2)(6p-5)\)
4. \((3q+8)(q-4)+(3q+8)(4q-7)\\=(3q+8)(q-4+4q-7)\\=(3q+8)(5q-11)\)
5. \((4a+8)(a-7)-(4a+8)(5a-9)\\=(4a+8)(a-7-5a+9)\\=(4a+8)(-4a+2)\)
6. \((3x-3)(x+6)-(3x-3)(4x-1)\\=(3x-3)(x+6-4x+1)\\=(3x-3)(-3x+7)\)
7. \((7a-7)(a+4)-(7a-7)(5a-4)\\=(7a-7)(a+4-5a+4)\\=(7a-7)(-4a+8)\)
8. \((y-7)(y-9)+(3y+7)(y-7)\\=(y-7)(y-9+3y+7)\\=(y-7)(4y-2)\)
9. \((8q-7)^2+(16q-14)\\=(8q-7)(8q-7)+2(8q-7)\\=(8q-5)(8q-7)\)
10. \((5s-9)(s+8)-(5s-9)(2s-4)\\=(5s-9)(s+8-2s+4)\\=(5s-9)(-s+12)\)
11. \((7x+2)^2+(21x+6)\\=(7x+2)(7x+2)+3(7x+2)\\=(7x+5)(7x+2)\)
12. \((3s+5)(s+8)+(3s+5)(5s+5)\\=(3s+5)(s+8+5s+5)\\=(3s+5)(6s+13)\)