Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

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