\(\dfrac{5xy^3\left(x-y\right)}{10xy\left(x-y\right)^3}=\dfrac{y^2}{2\left(x-y\right)^2}\)

\(\dfrac{5xy^3\left(x-y\right)}{10xy\left(x-y\right)^3}=\dfrac{y^2}{2\left(x-y\right)^2}\)

a) \(=\left(x-y\right)\left(3+5x\right)\)

b) \(=\left(x^2-6x+9\right)-y^2=\left(x-3\right)^2-y^2=\left(x-y-3\right)\left(x+y-3\right)\)

c) \(=5\left(x^2-xy-2x+2y\right)=5\left[x\left(x-y\right)-2\left(x-y\right)\right]=5\left(x-y\right)\left(x-2\right)\)

a/ 2x^2-3xy+y^2

=2x²-2xy-xy+y²

=2x(x-y)-y(x-y)=(2x-y)(x-y)

b/ y^2-5xy+6x^2

=y²-2xy-3xy+6x²=y(y-2x)-3x(y-2x)

=(y-3x)(y-2x)

tick cho mình đủ 30 nhé!

giải giúp ik xong mk tik cho

a) 3x+9y

=3(x+3y)

b) 4x²-16xy

=4x(x-4y)

c) x²-6x+9

=(x-3)²

d) 4y²-36

=(2y-6)(2y+6)

e) 4y²-4

=(2y-2)(2y+2)

f) 5a²-9

=\(\left(\sqrt{5}a-3\right)\left(\sqrt{5}a+3\right)\)

g) x³-2x²+x

=x(x²-2x+1)

=x(x-1)²

h) 5xy³-10xy²+5xy

=5xy(y²-2y+1)

=5xy(y-1)²

i) 12x²y+12xy+3y

=3y(4x²+4x+1)

=3y(2x+1)²

k) 5x-5y+y²-xy

=(5x-5y)+(y²-xy)

=5(x-y)-y(x-y)

=(x-y)(5-y)

#H

a: Đặt \(\left(18x^4y^3+a-b\right):3x^2y^2=c+2x^3-5xy^2\)

=>\(\begin{cases}c=18x^4y^3:3x^2y^2\\ a=2x^3\cdot3x^2y^2\\ -b=3x^2y^2\cdot\left(-5xy^2\right)\end{cases}\Rightarrow\begin{cases}c=6x^2y\\ a=6x^5y^2\\ b=15x^3y^4\end{cases}\)

Vậy: \(\left(18x^4y^3+6x^5y^2-15x^3y^4\right):3x^2y^2=6x^2y+2x^3-5xy^2\)

b: Đặt \(\left(7x^2y^5+a+b\right):c=14xy^2+6x^2y+10xy\)

=>\(\begin{cases}7x^2y^5:c=14x^2y^2\\ a:c=6x^2y\\ b:c=10xy\end{cases}\Rightarrow\begin{cases}c=\frac{7x^2y^5}{14x^2y^2}=\frac12y^3\\ a=6x^2y\cdot c=6x^2y\cdot\frac12y^3=3x^2y^4\\ b=10xy\cdot c=10xy\cdot\frac12y^3=5xy^4\end{cases}\)

Vậy: \(\left(7x^2y^5+3x^2y^4+5xy^4\right):\frac12y^3=14xy^2+6x^2y+10xy\)

a) 15x²y : ( - 5xy)

= -5xy( -3x) : ( - 5xy)

= -3x

b) ( 15x²y - 10xy² + 5xy) : 5xy

= 5xy( 3x - 2y + 1) : 5xy

= 3x - 2y + 1

c) ( x +y)³ : ( x+y)

= (x + y)( x +y)² : ( x+ y)

= ( x +y)²

Nhiều thế                  

mình làm bài 1 nhé 

kq sau khi thu gọn là A =x^6 -7+3x

a) 

\(=\frac{8^3}{\left(-8\right)^{-5}}=\frac{8^3}{-\frac{1}{8^5}}=8^3.-\left(8\right)^5=-8^8\)

b)

\(=\frac{15x^2y^2}{5xy^2}=3x\)

khó thế