Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((s+9)(s+8)-(5s-9)(s+9)\)
2. \((3x+3)(x-3)-(3x+3)(5x+8)\)
3. \((5p-4)^2+(20p-16)\)
4. \((3y-2)(y-6)+(3y-2)(2y-5)\)
5. \((8s-5)^2-(24s-15)\)
6. \((7y+2)(y-2)+(7y+2)(3y-9)\)
7. \((9b+4)^2-(27b+12)\)
8. \((2a+2)(a-5)+(2a+2)(3a+7)\)
9. \((4x-6)(x+1)+(4x-6)(5x-4)\)
10. \((5x+2)(x+3)+(5x+2)(4x+6)\)
11. \((7b+3)^2+(21b+9)\)
12. \((3s-5)^2-(15s-25)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((s+9)(s+8)-(5s-9)(s+9)\\=(s+9)(s+8-5s+9)\\=(s+9)(-4s+17)\)
2. \((3x+3)(x-3)-(3x+3)(5x+8)\\=(3x+3)(x-3-5x-8)\\=(3x+3)(-4x-11)\)
3. \((5p-4)^2+(20p-16)\\=(5p-4)(5p-4)+4(5p-4)\\=(5p+0)(5p-4)\)
4. \((3y-2)(y-6)+(3y-2)(2y-5)\\=(3y-2)(y-6+2y-5)\\=(3y-2)(3y-11)\)
5. \((8s-5)^2-(24s-15)\\=(8s-5)(8s-5)-3(8s-5)\\=(8s-8)(8s-5)\)
6. \((7y+2)(y-2)+(7y+2)(3y-9)\\=(7y+2)(y-2+3y-9)\\=(7y+2)(4y-11)\)
7. \((9b+4)^2-(27b+12)\\=(9b+4)(9b+4)-3(9b+4)\\=(9b+1)(9b+4)\)
8. \((2a+2)(a-5)+(2a+2)(3a+7)\\=(2a+2)(a-5+3a+7)\\=(2a+2)(4a+2)\)
9. \((4x-6)(x+1)+(4x-6)(5x-4)\\=(4x-6)(x+1+5x-4)\\=(4x-6)(6x-3)\)
10. \((5x+2)(x+3)+(5x+2)(4x+6)\\=(5x+2)(x+3+4x+6)\\=(5x+2)(5x+9)\)
11. \((7b+3)^2+(21b+9)\\=(7b+3)(7b+3)+3(7b+3)\\=(7b+6)(7b+3)\)
12. \((3s-5)^2-(15s-25)\\=(3s-5)(3s-5)-5(3s-5)\\=(3s-10)(3s-5)\)