Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((6p+7)^2+(30p+35)\)
2. \((6s+5)^2-(18s+15)\)
3. \((s+8)(s-8)-(2s-2)(s+8)\)
4. \((b+6)(b+5)+(5b-7)(b+6)\)
5. \((p+2)(p-9)-(2p-7)(p+2)\)
6. \((4p+1)(p-8)-(4p+1)(5p-2)\)
7. \((4s+3)^2-(16s+12)\)
8. \((5y+6)(y-2)-(5y+6)(4y-4)\)
9. \((p+4)(p-6)-(5p+5)(p+4)\)
10. \((8x+1)(x-3)+(8x+1)(5x+3)\)
11. \((2x-3)(x-4)-(2x-3)(3x-1)\)
12. \((s-6)(s+7)+(5s+4)(s-6)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((6p+7)^2+(30p+35)\\=(6p+7)(6p+7)+5(6p+7)\\=(6p+12)(6p+7)\)
2. \((6s+5)^2-(18s+15)\\=(6s+5)(6s+5)-3(6s+5)\\=(6s+2)(6s+5)\)
3. \((s+8)(s-8)-(2s-2)(s+8)\\=(s+8)(s-8-2s+2)\\=(s+8)(-s-6)\)
4. \((b+6)(b+5)+(5b-7)(b+6)\\=(b+6)(b+5+5b-7)\\=(b+6)(6b-2)\)
5. \((p+2)(p-9)-(2p-7)(p+2)\\=(p+2)(p-9-2p+7)\\=(p+2)(-p-2)\)
6. \((4p+1)(p-8)-(4p+1)(5p-2)\\=(4p+1)(p-8-5p+2)\\=(4p+1)(-4p-6)\)
7. \((4s+3)^2-(16s+12)\\=(4s+3)(4s+3)-4(4s+3)\\=(4s-1)(4s+3)\)
8. \((5y+6)(y-2)-(5y+6)(4y-4)\\=(5y+6)(y-2-4y+4)\\=(5y+6)(-3y+2)\)
9. \((p+4)(p-6)-(5p+5)(p+4)\\=(p+4)(p-6-5p-5)\\=(p+4)(-4p-11)\)
10. \((8x+1)(x-3)+(8x+1)(5x+3)\\=(8x+1)(x-3+5x+3)\\=(8x+1)(6x+0)\)
11. \((2x-3)(x-4)-(2x-3)(3x-1)\\=(2x-3)(x-4-3x+1)\\=(2x-3)(-2x-3)\)
12. \((s-6)(s+7)+(5s+4)(s-6)\\=(s-6)(s+7+5s+4)\\=(s-6)(6s+11)\)