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1/ x3 + x2y - x2z -xyz
= x2(x + y) - xz(x + y)
= (x + y) (x2 - xz)
= x (x + y) (x - z)
2/ 3x3y - 18x2y2 + 27xy3
= 3xy(x2 - 6xy + y2)

\(\frac{14xy^5\left(2x-3y\right)}{21x^2y\left(2x-3y\right)^2}=\frac{2y^4}{3x\left(2x-3y\right)}\)

A=(8xy-6x^2)/(12y^2-9xy)
A=2x(4y-3x)/3y(4y-3x)
A=2x/3y
B=(2x^3-18x)/(x^4-81)
B=2x(x^2-9)/(x^2-9)(x^2+9)
B=2x/(x^2+9)
C=(x^2-x-30)/(x^2-25)
C=(x^2+6x-5x-30)/(x^2-25)
C=(x(x+6)-5(x+6))/(x-5)(x+5)
C=(x+6)(x-5)/(x-5)(x+5)
C=(x+6)/(x+5)

a)\(\frac{12x^5y^2}{8x^3y^5}=\frac{3x^2}{2y^3}\)
b)\(\frac{x^2+2x+1}{5x^2+5x}=\frac{\left(x+1\right)^2}{5x\left(x+1\right)}=\frac{x+1}{5x}\)
a/ \(\frac{3x^2}{2y^3}\)
b/ \(\frac{\left(x+1\right)^2}{5x\left(x+1\right)}=\frac{x+1}{5x}\)

a)\(\frac{12x^5y^2}{8x^3y^5}\)
=\(\frac{3x^2}{2y^3}\)
b)\(\frac{x^2+2x+1}{5x^2+5x}\)
=\(\frac{\left(x+1\right)^2}{5x\left(x+1\right)}\)
=\(\frac{x+1}{5x}\)
t tôi nhé bn
\(a,\frac{12x^5y^2}{8x^3y^5}=\frac{4x^3y^2.3x^2}{4x^3y^2.2y^3}=\frac{3x^2}{2y^3}\)
\(b,\frac{x^2+2x+1}{5x^2+5x}=\frac{\left(x+1\right)^2}{5x\left(x+1\right)}=\frac{\left(x+1\right)\left(x+1\right)}{5x\left(x+1\right)}=\frac{x+1}{5x}\)
Xong rồi nhé! Chúc bạn học giỏi.

a, \(\frac{12x^5y^2}{8x^3y^5}=\frac{3x^2}{2y^3}\)
b, \(\frac{x^2+2x+1}{5x^2+5x}=\frac{\left(x+1\right)^2}{5x\left(x+1\right)}=\frac{x+1}{5x}\)
a)\(\frac{12x^5y^2}{8x^3y^5}=\frac{4\cdot3\cdot x^3x^2y^2}{4\cdot2\cdot x^3y^2y^3}=\frac{3x}{2y^3}\)
b)\(\frac{x^2+2x+1}{5x^2+5x}=\frac{x^2+2\cdot x\cdot1+1^2}{5x\left(x+1\right)}=\frac{\left(x+1\right)^2}{5x\left(x+1\right)}=\frac{x+1}{5x}\)

\(=\frac{2.7.xy.y^5\left(2x-3y\right)}{3.7.xy.x\left(2x-3y\right)^2}=\frac{2y^5}{3x\left(2x-3y\right)}\)
\(\frac{14xy^5\left(2x-3y\right)}{21x^2y\left(2x-3y\right)^2}\)
\(=\frac{2y^4}{3x\left(2x-3y\right)}\)
2x2/3x3