\(A=\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}\)
\(=\frac{2}{1-x^2}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}\)
\(=\frac{4}{1-x^4}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}\)
\(=\frac{8}{1-x^8}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}=\frac{16}{1-x^{16}}+\frac{16}{1+x^{16}}=\frac{32}{1-x^{32}}\)
Bài 1: Rút gọn biểu thức:
a) A = \(\left(\frac{1}{x^2-4x}+\frac{2}{16-x^2}+\frac{4}{4x+16}\right):\frac{1}{4x}\)
Rút gọn biểu thức
A =\(\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}\)
Rút gọn A = \(\frac{1}{-x}+\frac{1}{1+x}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}\)
Rút gọn biểu thức: \(A=\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}\)
Rút gọn biểu thức sau :
A = \(\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}\)
\(+\frac{16}{1+x^{16}}\)
Rút gonh biểu thức:
\(P=\frac{1}{1-x}+\frac{1}{x+1}+\frac{2}{x^2+1}+\frac{4}{x^4+1}+\frac{8}{x^8+1}+\frac{16}{x^{16}+1}\)
rút gọn phân thức
a. \(\frac{x^{32}+x^{16}+1}{x^{16}+x^8+1}\)
b. \(\frac{x^8+3x^4+4}{x^4+x^2+2}\)
cho \(A=\left(\frac{4x}{x+2}-\frac{x^3-8}{x^3+8}.\frac{4x^2-8x+16}{x-4}\right):\frac{16}{x+2}.\frac{x^2+3x+2}{x^2+x+1}\)
rút gọn A
Tính:\(\frac{1}{x}+\frac{1}{x+1}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}+\frac{32}{1+x^{32}}\)
