Question

chung minh 5mu 100 -5mu99 -5mu 98 chia het cho95

Answer 1

\(5^{100}-5^{99}-5^{98}=5^{98}\left(5^2-5-1\right)=5^{98}\cdot19=5^{97}\cdot5\cdot19=5^{97}\cdot95⋮95\left(đpcm\right)\)

Answer 2

5¹⁰⁰ - 5⁹⁹ - 5⁹⁸

= 5⁹⁸ (5²-5-1)

=5⁹⁸ . 19

=5⁹⁷ .5 . 19

=5⁹⁷ .95

vì 95 chia hết cho 95

=> 5¹⁰⁰ - 5⁹⁹ - 5⁹⁸  chia hết cho 95