Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

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