Question

Rút gọn biểu thức : 

        P = 12(5²  +  1)(5⁴  + 1)(5⁸ + 1)(5¹⁶ + 1)

Answer 1

\(\left(5^2-1\right)P=12\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(24P=12\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(24P=12\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(24P=12\left(5^{16}-1\right)\left(5^{16}+1\right)\)

\(24P=12\left(5^{32}-1\right)\)

\(P=\frac{12.\left(5^{32}-1\right)}{24}=\frac{5^{32}-1}{2}\)

T I C K nha cảm ơn