Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

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

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5x+2)(x+5)+(5x+2)(4x-7)\\=(5x+2)(x+5+4x-7)\\=(5x+2)(5x-2)\)
2. \((9p+2)^2+(18p+4)\\=(9p+2)(9p+2)+2(9p+2)\\=(9p+4)(9p+2)\)
3. \((5q-9)(q-1)-(5q-9)(4q-9)\\=(5q-9)(q-1-4q+9)\\=(5q-9)(-3q+8)\)
4. \((3b+2)(b-7)+(3b+2)(2b+4)\\=(3b+2)(b-7+2b+4)\\=(3b+2)(3b-3)\)
5. \((7x+3)(x-3)+(7x+3)(2x-7)\\=(7x+3)(x-3+2x-7)\\=(7x+3)(3x-10)\)
6. \((b+3)(b+1)-(4b+6)(b+3)\\=(b+3)(b+1-4b-6)\\=(b+3)(-3b-5)\)
7. \((3p-5)(p-5)-(3p-5)(2p-4)\\=(3p-5)(p-5-2p+4)\\=(3p-5)(-p-1)\)
8. \((4y-1)(y+2)+(4y-1)(5y+9)\\=(4y-1)(y+2+5y+9)\\=(4y-1)(6y+11)\)
9. \((q+9)(q-3)-(4q-7)(q+9)\\=(q+9)(q-3-4q+7)\\=(q+9)(-3q+4)\)
10. \((4x+7)^2-(16x+28)\\=(4x+7)(4x+7)-4(4x+7)\\=(4x+3)(4x+7)\)
11. \((4p-9)(p-8)+(4p-9)(5p-1)\\=(4p-9)(p-8+5p-1)\\=(4p-9)(6p-9)\)
12. \((5b+8)(b+4)+(5b+8)(3b+9)\\=(5b+8)(b+4+3b+9)\\=(5b+8)(4b+13)\)