Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((p-9)(p-8)+(4p+3)(p-9)\)
2. \((y-9)(y+9)-(3y+4)(y-9)\)
3. \((4p-9)(p-5)+(4p-9)(3p+7)\)
4. \((8x+5)^2-(16x+10)\)
5. \((4b+6)(b-5)-(4b+6)(3b+3)\)
6. \((6s-5)^2+(24s-20)\)
7. \((6b+1)^2+(30b+5)\)
8. \((a+3)(a-1)-(3a+4)(a+3)\)
9. \((2x-3)(x-8)-(2x-3)(5x+8)\)
10. \((s-3)^2+(3s-9)\)
11. \((8s-2)(s+7)+(8s-2)(5s+7)\)
12. \((8p-7)^2+(32p-28)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((p-9)(p-8)+(4p+3)(p-9)\\=(p-9)(p-8+4p+3)\\=(p-9)(5p-5)\)
2. \((y-9)(y+9)-(3y+4)(y-9)\\=(y-9)(y+9-3y-4)\\=(y-9)(-2y+5)\)
3. \((4p-9)(p-5)+(4p-9)(3p+7)\\=(4p-9)(p-5+3p+7)\\=(4p-9)(4p+2)\)
4. \((8x+5)^2-(16x+10)\\=(8x+5)(8x+5)-2(8x+5)\\=(8x+3)(8x+5)\)
5. \((4b+6)(b-5)-(4b+6)(3b+3)\\=(4b+6)(b-5-3b-3)\\=(4b+6)(-2b-8)\)
6. \((6s-5)^2+(24s-20)\\=(6s-5)(6s-5)+4(6s-5)\\=(6s-1)(6s-5)\)
7. \((6b+1)^2+(30b+5)\\=(6b+1)(6b+1)+5(6b+1)\\=(6b+6)(6b+1)\)
8. \((a+3)(a-1)-(3a+4)(a+3)\\=(a+3)(a-1-3a-4)\\=(a+3)(-2a-5)\)
9. \((2x-3)(x-8)-(2x-3)(5x+8)\\=(2x-3)(x-8-5x-8)\\=(2x-3)(-4x-16)\)
10. \((s-3)^2+(3s-9)\\=(s-3)(s-3)+3(s-3)\\=(s+0)(s-3)\)
11. \((8s-2)(s+7)+(8s-2)(5s+7)\\=(8s-2)(s+7+5s+7)\\=(8s-2)(6s+14)\)
12. \((8p-7)^2+(32p-28)\\=(8p-7)(8p-7)+4(8p-7)\\=(8p-3)(8p-7)\)