Giúp mình câu 6,7 nha , huhu
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bài 11:
a: \(\frac{15x}{7y^3}\cdot\frac{2y^2}{x^2}=\frac{15x\cdot2y^2}{7x^2y^3}=\frac{30xy^2}{7x^2y^3}=\frac{30}{7xy^{}}\)
b: \(\frac{5x+10}{4x-8}\cdot\frac{4-2x}{x+2}\)
\(=\frac{5\left(x+2\right)}{4\left(x-2\right)}\cdot\frac{-2\left(x-2\right)}{x+2}\)
\(=\frac54\cdot\left(-2\right)=-\frac52\)
c: \(\frac{1-4x^2}{x^2+4x}:\frac{2-4x}{3x}\)
\(=\frac{\left(1-2x\right)\left(1+2x\right)}{x\left(x+4\right)}\cdot\frac{3x}{2\left(1-2x\right)}\)
\(=\frac{3\left(2x+1\right)}{2\left(x+4\right)}=\frac{6x+3}{2x+8}\)
d: \(\left(\frac{1}{x^2+x}-\frac{2-x}{x+1}\right):\left(\frac{1}{x}+x-2\right)\)
\(=\left(\frac{1}{x\left(x+1\right)}+\frac{x-2}{x+1}\right):\frac{1+x^2-2x}{x}\)
\(=\frac{1+x\left(x-2\right)}{x\left(x+1\right)}\cdot\frac{x}{x^2-2x+1}\)
\(=\frac{x^2-2x+1}{x+1}\cdot\frac{1}{x^2-2x+1}=\frac{1}{x+1}\)
4:
a: A=1/3(1+1/2+...+1/64)
Đặt B=1+1/2+...+1/64
=>2B=2+1+...+1/32
=>B=2-1/64=127/64
=>A=1/3*127/64=127/192
b: =5/2(1-1/3+1/3-1/5+...+1/11-1/13)
=5/2*12/13
=60/26=30/13









6.
\(\%O=\dfrac{16n}{102}\cdot100\%=47.06\%\)
\(\Rightarrow n=3\)
\(M_X=2R+16\cdot3=102\left(đvc\right)\)
\(\Rightarrow R=27\)
\(R:Nhôm\)
\(Al_2O_3\)
7.
\(CT:Cu_xO_y\)
\(M_{oxit}=\dfrac{160}{2}=80\left(\dfrac{g}{mol}\right)\)
\(\Rightarrow64x+16y=80\)
\(\Rightarrow x=y=1\)
\(CT:CuO\)