Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

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