Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((3b+1)^2-(15b+5)\)
2. \((p+3)(p-6)+(3p-4)(p+3)\)
3. \((3b+4)^2-(12b+16)\)
4. \((5a-4)(a-5)+(5a-4)(2a+3)\)
5. \((2s+1)^2+(6s+3)\)
6. \((7y+3)(y+3)+(7y+3)(2y-9)\)
7. \((p-3)(p-9)+(4p-1)(p-3)\)
8. \((5x+6)(x-8)-(5x+6)(4x+8)\)
9. \((2s-7)(s-5)+(2s-7)(3s-1)\)
10. \((5x-4)^2+(15x-12)\)
11. \((8q+3)^2+(40q+15)\)
12. \((4x-7)^2-(12x-21)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((3b+1)^2-(15b+5)\\=(3b+1)(3b+1)-5(3b+1)\\=(3b-4)(3b+1)\)
2. \((p+3)(p-6)+(3p-4)(p+3)\\=(p+3)(p-6+3p-4)\\=(p+3)(4p-10)\)
3. \((3b+4)^2-(12b+16)\\=(3b+4)(3b+4)-4(3b+4)\\=(3b+0)(3b+4)\)
4. \((5a-4)(a-5)+(5a-4)(2a+3)\\=(5a-4)(a-5+2a+3)\\=(5a-4)(3a-2)\)
5. \((2s+1)^2+(6s+3)\\=(2s+1)(2s+1)+3(2s+1)\\=(2s+4)(2s+1)\)
6. \((7y+3)(y+3)+(7y+3)(2y-9)\\=(7y+3)(y+3+2y-9)\\=(7y+3)(3y-6)\)
7. \((p-3)(p-9)+(4p-1)(p-3)\\=(p-3)(p-9+4p-1)\\=(p-3)(5p-10)\)
8. \((5x+6)(x-8)-(5x+6)(4x+8)\\=(5x+6)(x-8-4x-8)\\=(5x+6)(-3x-16)\)
9. \((2s-7)(s-5)+(2s-7)(3s-1)\\=(2s-7)(s-5+3s-1)\\=(2s-7)(4s-6)\)
10. \((5x-4)^2+(15x-12)\\=(5x-4)(5x-4)+3(5x-4)\\=(5x-1)(5x-4)\)
11. \((8q+3)^2+(40q+15)\\=(8q+3)(8q+3)+5(8q+3)\\=(8q+8)(8q+3)\)
12. \((4x-7)^2-(12x-21)\\=(4x-7)(4x-7)-3(4x-7)\\=(4x-10)(4x-7)\)