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\(a,\dfrac{3x\left(1-x\right)}{1\left(x-1\right)}=\dfrac{-3x\left(x-1\right)}{x-1}=-3x\)
\(b,\dfrac{6x^2y^2}{8xy^3}=\dfrac{3x.2xy^2}{4y.2xy^2}=\dfrac{3x}{4y}\)
\(c,\dfrac{3\left(x-y\right)\left(x-z\right)^2}{6\left(x-y\right)\left(x-z\right)}=\dfrac{x-z}{2}\)
Bài 1 rút gọn phân thức
\(a.\frac{3x\left(1-x\right)}{2\left(x-1\right)}=\frac{-3x\left(x-1\right)}{2\left(x-1\right)}=\frac{-3x}{2}\)
\(b.\frac{6x^2y^2}{8xy^5}=\frac{3x}{4y^3}\)
\(c.\frac{3\left(x-y\right)\left(x-z\right)^2}{6\left(x-y\right)\left(x-z\right)}=\frac{x-z}{2}\)
\(\dfrac{1}{2}\left(6x-2y\right)\left(3x+y\right)=\dfrac{1}{2}.2\left(3x-y\right)\left(3x+y\right)=9x^2-y^2\)
\(\left(\dfrac{2}{3}z-\dfrac{2}{5}x\right)\left(\dfrac{1}{3}z+\dfrac{1}{5}x\right).\dfrac{1}{2}=\left(\dfrac{1}{3}z-\dfrac{1}{5}x\right)\left(\dfrac{1}{3}z+\dfrac{1}{5}z\right).2.\dfrac{1}{2}=\dfrac{1}{9}z^2-\dfrac{1}{25}x^2\)
\(\left(5y-3x\right).\dfrac{1}{4}\left(12x+20y\right)=\left(5y-3x\right)\left(5y+3x\right).4.\dfrac{1}{4}=25y^2-9x^2\)
\(\left(\dfrac{3}{4}y-\dfrac{1}{2}x\right)\left(x+\dfrac{3}{2}y\right)=\left(\dfrac{3}{2}y-x\right)\left(\dfrac{3}{2}y+x\right)=\dfrac{9}{4}y^2-x^2\)
\(\left(a+b+c\right)\left(a+b+c\right)=\left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2bc+2ac\)
\(\left(x-y+z\right)\left(x+y-z\right)=x^2-\left(y-z\right)^2=x^2-y^2-z^2+2yz\)
??? đề là gì vậy bạn
Rút gọn phân thức a