Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((8s-1)(s-8)-(8s-1)(5s+5)\)
2. \((q+4)(q+4)-(5q+8)(q+4)\)
3. \((6x-5)^2-(18x-15)\)
4. \((5p-5)(p+2)-(5p-5)(2p-6)\)
5. \((p-7)(p+2)-(3p+9)(p-7)\)
6. \((7q+5)(q+8)+(7q+5)(2q+6)\)
7. \((7x-8)(x+8)-(7x-8)(5x-7)\)
8. \((4q+3)(q-9)-(4q+3)(5q-3)\)
9. \((5b-6)(b-3)-(5b-6)(2b-7)\)
10. \((9y+4)^2-(45y+20)\)
11. \((4b+1)^2-(16b+4)\)
12. \((5a+3)^2+(10a+6)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((8s-1)(s-8)-(8s-1)(5s+5)\\=(8s-1)(s-8-5s-5)\\=(8s-1)(-4s-13)\)
2. \((q+4)(q+4)-(5q+8)(q+4)\\=(q+4)(q+4-5q-8)\\=(q+4)(-4q-4)\)
3. \((6x-5)^2-(18x-15)\\=(6x-5)(6x-5)-3(6x-5)\\=(6x-8)(6x-5)\)
4. \((5p-5)(p+2)-(5p-5)(2p-6)\\=(5p-5)(p+2-2p+6)\\=(5p-5)(-p+8)\)
5. \((p-7)(p+2)-(3p+9)(p-7)\\=(p-7)(p+2-3p-9)\\=(p-7)(-2p-7)\)
6. \((7q+5)(q+8)+(7q+5)(2q+6)\\=(7q+5)(q+8+2q+6)\\=(7q+5)(3q+14)\)
7. \((7x-8)(x+8)-(7x-8)(5x-7)\\=(7x-8)(x+8-5x+7)\\=(7x-8)(-4x+15)\)
8. \((4q+3)(q-9)-(4q+3)(5q-3)\\=(4q+3)(q-9-5q+3)\\=(4q+3)(-4q-6)\)
9. \((5b-6)(b-3)-(5b-6)(2b-7)\\=(5b-6)(b-3-2b+7)\\=(5b-6)(-b+4)\)
10. \((9y+4)^2-(45y+20)\\=(9y+4)(9y+4)-5(9y+4)\\=(9y-1)(9y+4)\)
11. \((4b+1)^2-(16b+4)\\=(4b+1)(4b+1)-4(4b+1)\\=(4b-3)(4b+1)\)
12. \((5a+3)^2+(10a+6)\\=(5a+3)(5a+3)+2(5a+3)\\=(5a+5)(5a+3)\)