Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5b+8)(b-3)-(5b+8)(2b-8)\)
2. \((4q-7)^2-(16q-28)\)
3. \((3q+1)(q+8)+(3q+1)(2q-5)\)
4. \((7y+4)^2-(35y+20)\)
5. \((y-1)(y+2)-(4y+5)(y-1)\)
6. \((9x+7)^2-(18x+14)\)
7. \((6a+5)(a-4)-(6a+5)(5a+8)\)
8. \((3q+1)^2-(15q+5)\)
9. \((2y-1)(y-3)-(2y-1)(5y+2)\)
10. \((8a+1)^2-(32a+4)\)
11. \((3p-5)(p-2)+(3p-5)(2p-8)\)
12. \((2x+1)^2-(8x+4)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5b+8)(b-3)-(5b+8)(2b-8)\\=(5b+8)(b-3-2b+8)\\=(5b+8)(-b+5)\)
2. \((4q-7)^2-(16q-28)\\=(4q-7)(4q-7)-4(4q-7)\\=(4q-11)(4q-7)\)
3. \((3q+1)(q+8)+(3q+1)(2q-5)\\=(3q+1)(q+8+2q-5)\\=(3q+1)(3q+3)\)
4. \((7y+4)^2-(35y+20)\\=(7y+4)(7y+4)-5(7y+4)\\=(7y-1)(7y+4)\)
5. \((y-1)(y+2)-(4y+5)(y-1)\\=(y-1)(y+2-4y-5)\\=(y-1)(-3y-3)\)
6. \((9x+7)^2-(18x+14)\\=(9x+7)(9x+7)-2(9x+7)\\=(9x+5)(9x+7)\)
7. \((6a+5)(a-4)-(6a+5)(5a+8)\\=(6a+5)(a-4-5a-8)\\=(6a+5)(-4a-12)\)
8. \((3q+1)^2-(15q+5)\\=(3q+1)(3q+1)-5(3q+1)\\=(3q-4)(3q+1)\)
9. \((2y-1)(y-3)-(2y-1)(5y+2)\\=(2y-1)(y-3-5y-2)\\=(2y-1)(-4y-5)\)
10. \((8a+1)^2-(32a+4)\\=(8a+1)(8a+1)-4(8a+1)\\=(8a-3)(8a+1)\)
11. \((3p-5)(p-2)+(3p-5)(2p-8)\\=(3p-5)(p-2+2p-8)\\=(3p-5)(3p-10)\)
12. \((2x+1)^2-(8x+4)\\=(2x+1)(2x+1)-4(2x+1)\\=(2x-3)(2x+1)\)