Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3s-1)(s-3)-(3s-1)(5s-7)\)
2. \((5s-2)^2-(25s-10)\)
3. \((7y+2)(y-1)+(7y+2)(5y-1)\)
4. \((4b-3)(b-2)+(4b-3)(5b+2)\)
5. \((a+2)(a-8)+(3a+9)(a+2)\)
6. \((p-9)(p+6)+(3p+3)(p-9)\)
7. \((3b+2)(b-7)-(3b+2)(4b+3)\)
8. \((2a+1)^2+(10a+5)\)
9. \((5a+3)^2+(20a+12)\)
10. \((s-3)(s-1)+(4s+5)(s-3)\)
11. \((x+3)^2-(4x+12)\)
12. \((9p+4)^2+(36p+16)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3s-1)(s-3)-(3s-1)(5s-7)\\=(3s-1)(s-3-5s+7)\\=(3s-1)(-4s+4)\)
2. \((5s-2)^2-(25s-10)\\=(5s-2)(5s-2)-5(5s-2)\\=(5s-7)(5s-2)\)
3. \((7y+2)(y-1)+(7y+2)(5y-1)\\=(7y+2)(y-1+5y-1)\\=(7y+2)(6y-2)\)
4. \((4b-3)(b-2)+(4b-3)(5b+2)\\=(4b-3)(b-2+5b+2)\\=(4b-3)(6b+0)\)
5. \((a+2)(a-8)+(3a+9)(a+2)\\=(a+2)(a-8+3a+9)\\=(a+2)(4a+1)\)
6. \((p-9)(p+6)+(3p+3)(p-9)\\=(p-9)(p+6+3p+3)\\=(p-9)(4p+9)\)
7. \((3b+2)(b-7)-(3b+2)(4b+3)\\=(3b+2)(b-7-4b-3)\\=(3b+2)(-3b-10)\)
8. \((2a+1)^2+(10a+5)\\=(2a+1)(2a+1)+5(2a+1)\\=(2a+6)(2a+1)\)
9. \((5a+3)^2+(20a+12)\\=(5a+3)(5a+3)+4(5a+3)\\=(5a+7)(5a+3)\)
10. \((s-3)(s-1)+(4s+5)(s-3)\\=(s-3)(s-1+4s+5)\\=(s-3)(5s+4)\)
11. \((x+3)^2-(4x+12)\\=(x+3)(x+3)-4(x+3)\\=(x-1)(x+3)\)
12. \((9p+4)^2+(36p+16)\\=(9p+4)(9p+4)+4(9p+4)\\=(9p+8)(9p+4)\)