Thực hiện phép tính
8/x²-16+1/x+4+2/x+4
thực hiện phép tính 1/x-1-1/x+1-2/x^2+1-4/x^4+1-8/x^8+1-16/x^16+1
Thực hiện phép trừ:
1/1-x+1/1+x+2/1+x^2+4/1+x^4+8/1+x^8+16/1+x^16
\(=\dfrac{1+x+1-x}{1-x^2}+\dfrac{2}{1+x^2}+...+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{2}{1-x^2}+\dfrac{2}{1+x^2}+...+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{2+2x^2+2-2x^2}{1-x^4}+...+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{4}{1-x^4}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}+...+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{4+4x^4+4-4x^4}{1-x^8}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{8+8x^8+8-8x^8}{1-x^{16}}+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{16+16x^{16}+16-16x^{16}}{1-x^{32}}=\dfrac{32}{1-x^{32}}\)
Thực hiện phép tính:
1/1-x + 1/1+x + 2/1+x^2 + 4/1+x^4 + 8/1+x^8 + 16/1+x^16
\(\dfrac{1}{1-x}\)+\(\dfrac{1}{1+x}\)+\(\dfrac{2}{1+x^2}\)+\(\dfrac{4}{1+x^4}\)+\(\dfrac{8}{1+x^8}\)+\(\dfrac{16}{1+x^{16}}\)
=
=\(\dfrac{4}{1-x^4}\)+\(\dfrac{4}{1+x^4}\)+\(\dfrac{8}{1+x^8}\)+\(\dfrac{16}{1+x^{16}}\)
=\(\dfrac{8}{1-x^8}\)+\(\dfrac{8}{1+x^8}\)+\(\dfrac{16}{1+x^{16}}\)
=\(\dfrac{16}{1-x^{16}}\)+\(\dfrac{16}{1+x^{16}}\)
=\(\dfrac{32}{1-x^{32}}\)
Thực hiện phép tính :
\(\frac{2}{1-x^2}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}+\frac{32}{1+x^{32}}\)
khó quá làm sao mà trả lời đc
tự đầu mình vắt óc mà suy nghĩ
thực hiện phép tính \(A=\frac{1}{x-1}-\frac{1}{x-1}-\frac{2}{x^2+1}-\frac{4}{x^4+1}-\frac{8}{x^8+1}-\frac{16}{x^{16}+1}\)
Thực hiện phép tính:
a/ 1/(1-x)+1/(1+x)+1/(1+x^2)+4/(1+x^4)+8/(1+x^8)+16/(1+x^16)
b/chứng minh nếu 1/x+1/y+1/z=2 và x+y+z=xưa thi 1/x^2+1/y^2+1/z^2
Thực hiện phép cộng :
\(\dfrac{1}{1-x}+\dfrac{1}{1+x}+\dfrac{2}{1+x^2}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
\(A=\dfrac{1}{1-x}+\dfrac{1}{1+x}+\dfrac{2}{1+x^2}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
\(A=\left(\dfrac{1+x}{\left(1-x\right)\left(1+x\right)}+\dfrac{1-x}{\left(1+x\right)\left(1-x\right)}\right)+...+\dfrac{16}{1+x^{16}}\)
\(A=\dfrac{1+x+1-x}{1-x^2}+\dfrac{2}{1+x^2}+...+\dfrac{16}{1+x^{16}}\)
\(A=\dfrac{2}{1-x^2}+\dfrac{2}{1+x^2}+...+\dfrac{16}{1+x^{16}}\)
Tiếp tục các bước như ở dòng 2 và 3 ta có :
\(A=\dfrac{16}{1-x^{16}}+\dfrac{16}{1+x^{16}}\)
\(A=\dfrac{16\left(1+x^{16}\right)}{\left(1-x^{16}\right)\left(1+x^{16}\right)}+\dfrac{16\left(1-x^{16}\right)}{\left(1+x^{16}\right)\left(1-x^{16}\right)}\)
\(A=\dfrac{16+16x^{16}+16-16x^{16}}{1-x^{32}}\)
\(A=\dfrac{32}{1-x^{32}}\)
\(\frac{1}{x-1}-\frac{1}{x+1}-\frac{1}{x^2+1}-\frac{1}{x^4+1}-\frac{1}{x^8+1}-\frac{1}{x^{16}+1}\)thực hiện phép tính
Thực hiện phép tính:
a) 25 x { 8 x [12 -4 + 8 (16 : 80) ] }
b) 2016 x 0 + 1 (207 + 0 : 4579)
c) 15 x { 2100 : [ 254 - (16 +84 x 2) ] }
\(25\cdot\left\{8\cdot\left[12-4+8\left(16\div80\right)\right]\right\}\)
\(=25\cdot\left\{8\cdot\left[12-4+8\cdot0,2\right]\right\}\)
\(=25\cdot\left\{8\cdot8+1,6\right\}\)
\(=25\cdot\left(64+1,6\right)\)
\(=25\cdot65,6=1640\)
b)\(2016\cdot0+1\left(207+\frac{0}{4579}\right)=0+1\cdot207=207\)
c)\(15\cdot\left\{2100\div\left[251-\left(16+84\cdot2\right)\right]\right\}\)
\(=15\cdot\left\{2100\div\left[251-\left(16+168\right)\right]\right\}\)
\(=15\cdot\left\{2100\div\left[251-184\right]\right\}\)
\(=15\cdot\left(2100\div67\right)\)
\(=15\cdot\frac{2100}{67}=\frac{31500}{67}\)
thực hiện phép tính: 25 x { 8 x [ 12 + 4 - 8 ( 16 : 8) ] }
25x(8(12+4-8(16:8)))=25x(8x(16-8x2))=25x(8x(16-16)=25x(8x0)=25x0=0
Nhân chia trước cộng trừ sau , nên bn tự giải đi nha
rối quá
mik cho cách lm rồi đó tk mik nhé