Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((5p+4)^2+(20p+16)\)
2. \((4p-7)^2+(20p-35)\)
3. \((s-9)(s+5)+(5s+1)(s-9)\)
4. \((5a+1)^2+(10a+2)\)
5. \((2y+1)^2-(4y+2)\)
6. \((b-2)(b-1)-(3b+6)(b-2)\)
7. \((7y+6)^2-(28y+24)\)
8. \((2s+3)^2-(10s+15)\)
9. \((8x+1)^2-(16x+2)\)
10. \((9q-4)^2+(27q-12)\)
11. \((5s+9)(s+9)+(5s+9)(4s-2)\)
12. \((3q+1)(q+2)+(3q+1)(2q+2)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((5p+4)^2+(20p+16)\\=(5p+4)(5p+4)+4(5p+4)\\=(5p+8)(5p+4)\)
2. \((4p-7)^2+(20p-35)\\=(4p-7)(4p-7)+5(4p-7)\\=(4p-2)(4p-7)\)
3. \((s-9)(s+5)+(5s+1)(s-9)\\=(s-9)(s+5+5s+1)\\=(s-9)(6s+6)\)
4. \((5a+1)^2+(10a+2)\\=(5a+1)(5a+1)+2(5a+1)\\=(5a+3)(5a+1)\)
5. \((2y+1)^2-(4y+2)\\=(2y+1)(2y+1)-2(2y+1)\\=(2y-1)(2y+1)\)
6. \((b-2)(b-1)-(3b+6)(b-2)\\=(b-2)(b-1-3b-6)\\=(b-2)(-2b-7)\)
7. \((7y+6)^2-(28y+24)\\=(7y+6)(7y+6)-4(7y+6)\\=(7y+2)(7y+6)\)
8. \((2s+3)^2-(10s+15)\\=(2s+3)(2s+3)-5(2s+3)\\=(2s-2)(2s+3)\)
9. \((8x+1)^2-(16x+2)\\=(8x+1)(8x+1)-2(8x+1)\\=(8x-1)(8x+1)\)
10. \((9q-4)^2+(27q-12)\\=(9q-4)(9q-4)+3(9q-4)\\=(9q-1)(9q-4)\)
11. \((5s+9)(s+9)+(5s+9)(4s-2)\\=(5s+9)(s+9+4s-2)\\=(5s+9)(5s+7)\)
12. \((3q+1)(q+2)+(3q+1)(2q+2)\\=(3q+1)(q+2+2q+2)\\=(3q+1)(3q+4)\)