Bài 1
a) MTC: 4xy
\(\frac{y+1}{2xy}=\frac{2\left(y+1\right)}{4xy}\)
\(\frac14=\frac{xy}{4xy}\)
b) MTC: 15y(x - 1)
\(\frac{3}{5y}=\frac{3.3\left(x-1\right)}{15y\left(x-1\right)}=\frac{9\left(x-1\right)}{15y\left(x-1\right)}\)
\(\frac{x+1}{3\left(x-1\right)}=\frac{5y\left(x+1\right)}{15y\left(x-1\right)}\)
c) MTC: 3(x - 2)(x + 2)
\(\frac{5}{3\left(x+2\right)}=\frac{5\left(x-2\right)}{3\left(x-2\right)\left(x+2\right)}\)
\(\frac{1}{x^2-4}=\frac{1}{\left(x-2\right)\left(x+2\right)}=\frac{3}{3\left(x-2\right)\left(x+2\right)}\)
d) MTC: 2(x - 1)(x + 1)
\(\frac{x-1}{2\left(x+1\right)}=\frac{\left(x-1\right)\left(x-1\right)}{2\left(x-1\right)\left(x+1\right)}=\frac{\left(x-1\right)^2}{2\left(x-1\right)\left(x+1\right)}\)
\(\frac{-2x}{x^2-1}=\frac{-2x}{\left(x-1\right)\left(x+1\right)}=\frac{2.\left(-2x\right)}{2\left(x-1\right)\left(x+1\right)}=\frac{-4x}{2\left(x-1\right)\left(x+1\right)}\)
e) MTC: \(x\left(x-2\right)^2\)
\(\frac{x+5}{x^2-4x+4}=\frac{x+5}{\left(x-2\right)^2}=\frac{x\left(x+5\right)}{x\left(x-2\right)^2}\)
\(\frac{2}{x\left(x-2\right)}=\frac{2\left(x-2\right)}{x\left(x-2\right)\left(x-2\right)}=\frac{2\left(x-2\right)}{x\left(x-2\right)^2}\)
g) MTC: \(2\left(x+1\right)^2\)
\(\frac{2}{x^2+2x+1}=\frac{2}{\left(x+1\right)^2}=\frac{2.2}{2\left(x+1\right)^2}=\frac{4}{x\left(x+1\right)^2}\)
\(\frac{x-4}{2x+2}=\frac{x-4}{2\left(x+1\right)}=\frac{\left(x-4\right)\left(x+1\right)}{2\left(x+1\right)\left(x+1\right)}=\frac{\left(x-4\right)\left(x+1\right)}{2\left(x+1\right)^2}\)
Bài 2
a) MTC: 2x(x - 4)(x + 4)
\(\frac{3x+1}{2x^2+8x}=\frac{3x+1}{2x\left(x+4\right)}=\frac{3x+1}{2x\left(x-4\right)\left(x+4\right)}\)
\(\frac{4-3x}{x^2-16}=\frac{4-3x}{\left(x-4\right)\left(x+4\right)}=\frac{2x\left(4-3x\right)}{2x\left(x-4\right)\left(x+4\right)}\)
em cần giải gấp bài 3 chi tiết mọi người giúp em với ạ. Làm bài dưới dạng phân số ạ em cần gấp
