Toán Lớp 8: Rút gọn biểu thức
4.( $3^{2}$ +1).($3^{4}$+1).($3^{8}$+1)…($3^{32}$+1)
nhanh nha
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Toán Lớp 8: Rút gọn biểu thức
4.( $3^{2}$ +1).($3^{4}$+1).($3^{8}$+1)…($3^{32}$+1)
nhanh nha
Comments ( 2 )
->2A=8(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
->2A=(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
->2A=(3^4-1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
->2A=(3^8-1)(3^8+1)(3^16+1)(3^32+1)
->2A=(3^16-1)(3^16+1)(3^32+1)
->2A=(3^32-1)(3^32+1)
->2A=3^64-1
->A=(3^64-1)/2
Vậy : A=(3^64-1)/2