Tweeterm als gem. factor (3)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

1. \((7a+2)(a+4)-(7a+2)(4a-3)\)
2. \((8s+5)^2-(16s+10)\)
3. \((7a-3)^2-(14a-6)\)
4. \((s+3)(s+5)+(3s+1)(s+3)\)
5. \((9y+1)^2-(18y+2)\)
6. \((2q+7)^2+(8q+28)\)
7. \((6s-5)^2-(24s-20)\)
8. \((9y-4)^2+(27y-12)\)
9. \((5x+1)^2+(10x+2)\)
10. \((s-9)(s-2)+(3s-1)(s-9)\)
11. \((y-8)(y+3)-(3y-9)(y-8)\)
12. \((6p+5)^2+(18p+15)\)

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Zonder de gemeenschappelijke tweeterm af en 'kuis op'.

Verbetersleutel

1. \((7a+2)(a+4)-(7a+2)(4a-3)\\=(7a+2)(a+4-4a+3)\\=(7a+2)(-3a+7)\)
2. \((8s+5)^2-(16s+10)\\=(8s+5)(8s+5)-2(8s+5)\\=(8s+3)(8s+5)\)
3. \((7a-3)^2-(14a-6)\\=(7a-3)(7a-3)-2(7a-3)\\=(7a-5)(7a-3)\)
4. \((s+3)(s+5)+(3s+1)(s+3)\\=(s+3)(s+5+3s+1)\\=(s+3)(4s+6)\)
5. \((9y+1)^2-(18y+2)\\=(9y+1)(9y+1)-2(9y+1)\\=(9y-1)(9y+1)\)
6. \((2q+7)^2+(8q+28)\\=(2q+7)(2q+7)+4(2q+7)\\=(2q+11)(2q+7)\)
7. \((6s-5)^2-(24s-20)\\=(6s-5)(6s-5)-4(6s-5)\\=(6s-9)(6s-5)\)
8. \((9y-4)^2+(27y-12)\\=(9y-4)(9y-4)+3(9y-4)\\=(9y-1)(9y-4)\)
9. \((5x+1)^2+(10x+2)\\=(5x+1)(5x+1)+2(5x+1)\\=(5x+3)(5x+1)\)
10. \((s-9)(s-2)+(3s-1)(s-9)\\=(s-9)(s-2+3s-1)\\=(s-9)(4s-3)\)
11. \((y-8)(y+3)-(3y-9)(y-8)\\=(y-8)(y+3-3y+9)\\=(y-8)(-2y+12)\)
12. \((6p+5)^2+(18p+15)\\=(6p+5)(6p+5)+3(6p+5)\\=(6p+8)(6p+5)\)