Giúp mình với!!!!!!!!!! Thực hiện phép tính: $E=$$\frac{1}{x-1}-$ $\frac{1}{x+1}-$ $\frac{2}{x^{2}+1}-$ $\frac{4}{x^{4}+1}-$ $\frac{8}{x^{8}+1}-$ $\frac{16}{x^{16}+1}$

2 câu trả lời

$E=\dfrac{1}{x-1}-\dfrac{1}{x+1}-\dfrac{2}{x^2+1}-\dfrac{4}{x^4+1}-\dfrac{8}{x^8+1}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{x+1-x+1}{(x-1)(x+1)}-\dfrac{2}{x^2+1}-\dfrac{4}{x^4+1}-\dfrac{8}{x^8+1}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{2}{x^2-1}-\dfrac{2}{x^2+1}-\dfrac{4}{x^4+1}-\dfrac{8}{x^8+1}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{2(x^2+1)-2(x^2-1)}{(x^2-1)(x^2+1)}-\dfrac{4}{x^4+1}-\dfrac{8}{x^8+1}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{4}{x^4-1}-\dfrac{4}{x^4+1}-\dfrac{8}{x^8+1}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{4(x^4+1)-4(x^4+1)}{(x^4-1)(x^4+1)}-\dfrac{8}{x^8+1}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{8}{x^8-1}-\dfrac{8}{x^8+1}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{8(x^8+1)-8(x^8-1)}{(x^8-1)(x^8+1)}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{16}{x^{16}-1}-\dfrac{16}{x^{16}+1}$ 

$E=\dfrac{16(x^{16}+1)-16(x^{16}-1)}{(x^{16}-1)(x^{16}+1)}$ 

$E=\dfrac{32}{x^{32}-1}$ 

Đáp án:

 

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