Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((2p+2)(p-5)+(2p+2)(5p+7)\)
2. \((3x+6)(x-1)+(3x+6)(2x+6)\)
3. \((b-4)(b+4)+(4b-2)(b-4)\)
4. \((2a+1)^2-(10a+5)\)
5. \((2y+9)(y-4)-(2y+9)(3y-6)\)
6. \((8y+5)^2+(24y+15)\)
7. \((y+4)(y-2)-(4y+1)(y+4)\)
8. \((b-3)(b+8)-(5b+1)(b-3)\)
9. \((5y+2)(y-3)+(5y+2)(3y-4)\)
10. \((6b+5)^2+(24b+20)\)
11. \((7q+5)^2-(14q+10)\)
12. \((a-5)(a+7)+(2a-6)(a-5)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((2p+2)(p-5)+(2p+2)(5p+7)\\=(2p+2)(p-5+5p+7)\\=(2p+2)(6p+2)\)
2. \((3x+6)(x-1)+(3x+6)(2x+6)\\=(3x+6)(x-1+2x+6)\\=(3x+6)(3x+5)\)
3. \((b-4)(b+4)+(4b-2)(b-4)\\=(b-4)(b+4+4b-2)\\=(b-4)(5b+2)\)
4. \((2a+1)^2-(10a+5)\\=(2a+1)(2a+1)-5(2a+1)\\=(2a-4)(2a+1)\)
5. \((2y+9)(y-4)-(2y+9)(3y-6)\\=(2y+9)(y-4-3y+6)\\=(2y+9)(-2y+2)\)
6. \((8y+5)^2+(24y+15)\\=(8y+5)(8y+5)+3(8y+5)\\=(8y+8)(8y+5)\)
7. \((y+4)(y-2)-(4y+1)(y+4)\\=(y+4)(y-2-4y-1)\\=(y+4)(-3y-3)\)
8. \((b-3)(b+8)-(5b+1)(b-3)\\=(b-3)(b+8-5b-1)\\=(b-3)(-4b+7)\)
9. \((5y+2)(y-3)+(5y+2)(3y-4)\\=(5y+2)(y-3+3y-4)\\=(5y+2)(4y-7)\)
10. \((6b+5)^2+(24b+20)\\=(6b+5)(6b+5)+4(6b+5)\\=(6b+9)(6b+5)\)
11. \((7q+5)^2-(14q+10)\\=(7q+5)(7q+5)-2(7q+5)\\=(7q+3)(7q+5)\)
12. \((a-5)(a+7)+(2a-6)(a-5)\\=(a-5)(a+7+2a-6)\\=(a-5)(3a+1)\)