Bài 10: Chia đơn thức cho đơn thức

\(\dfrac{15}{16}\left(-x^5\right)^3:\dfrac{16}{5}x^6=\dfrac{15}{16}\left(-x\right)^{15}.\dfrac{5}{16x^6}=\dfrac{-75}{256}x^7\)

\(\left(3z\right)^3:4z^2=3^3.z^3:4z^2=\dfrac{27}{4}.z\)

\(17^3 : \left(-17\right)^{-2}=17^3 . 17^2=17^{3+2}=17^5\)

= 4913 : (- 289) = - 17

`3x^4:(-x)^2-5x^3:x^2+x:1/2x=0`

`<=>3x^2-5x+2=0`

`<=>3x^2-3x-2x+2=0`

`<=>(x-1)(3x-2)=0`

`<=>[(x=1),(x=2/3):}`

`(x^2-1)^3:(1-x^2)^2=8`

`<=>(x^2-1)^3:(x^2-1)^2=8`

`<=>x^2-1=8`

`<=>x^2=9`

`<=>x=+-3`

Số `2` sau `x^2` là gì đấy bạn?

\(=\left(x+2y\right)\left(x^2-2xy+4y^2\right):\left(x+2y\right)=x^2-2xy+4y^2\)

\(\left(x^3-2x^2y+3xy^2\right):\left(-\dfrac{1}{2}x\right)=-2x^2+4xy+6y^2\)

\(\left(3x^2y^2+6x^2y^3-12xy\right):3xy=3xy+6xy^2-12\)

1:

1: =-4x^5

2: =-7x

3: =-4x^2y^3

4: =3xz

5: =5/2xy

6: =3/4xyz

7: =-5

8: =-3/5y^2z^3

`(e):\  25(2x-y-3z)^{14}:5(y+3z-2x)^{7}`

`=25(y+3z-2x)^{14}:5(y+3z-2x)^{7}`

`=5(y+3z-2x)^{14-7}`

`=5(y+3z-2x)^{7}`

`(g):\   (8x^{3}+36x^{2}+54x+27):(3+2x)^{2}`

`=(2x+3)^{3}:(2x+3)^{2}`

`=(2x+3)^{3-2}`

`=2x+3`

e: \(=\dfrac{25\left(y+3z-2x\right)^{14}}{5\left(y+3z-2x\right)^7}=5\left(y+2z-2x\right)^7\)

g: \(=\dfrac{\left(2x+3\right)^3}{\left(2x+3\right)^2}=2x+3\)

b: \(=\left(\dfrac{1}{9}:\dfrac{-8}{27}\right)\cdot\left(x^4:x^3\right)\cdot\left(y^6:y^6\right)\cdot\left(\dfrac{z^8}{z^6}\right)\)

\(=\dfrac{-3}{8}xz^2\)

d: \(=2\left(x-y+z\right)^2\)