Question

Biểu thức  có giá trị là Hãy điền số thích hợp vào chỗ .... nhé !

Answer 1

\(Q=5^{32}-24\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(=5^{32}-\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(=5^{32}-\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(=5^{32}-\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(=5^{32}-\left(5^{16}-1\right)\left(5^{16}+1\right)=5^{32}-\left(5^{32}-1\right)=1\)

Answer 2

\(Q=5^{32}-24\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(=5^{32}-\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(=5^{32}-\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(=5^{32}-\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(=5^{32}-\left(5^{16}-1\right)\left(5^{16}+1\right)\)

\(=5^{32}-5^{32}+1\)

= 1