Question

CMR:

a) \(43^2+43.17\) Chia hết cho 60.

b) \(27^5-3^{11}\) Chia hết cho 80.

c) \(199^3-199\) Chia hết cho 200.

d) \(2^9-1\) Chia hết cho 73.

e) \(\left(n+3\right)^2-\left(n-1\right)^2\) Chia hết cho 8.

Answer 1

\(a;43^2+43.17=43\left(43+17\right)=43.60⋮60\left(đpcm\right)\)

Answer 2

\(b;27^5-3^{11}=3^{15}-3^{11}=3^{11}\left(3^4-1\right)=3^{11}.80⋮80\left(đpcm\right)\)

Answer 3

a)43^2+43.17=43(43+17)=43.60 chia het cho 60

b)27^5-3^11=3^15-3^11=3^11.(3^4-1)=3^11.80 chia het cho 80

nho k ung ho mik nhe

Answer 4

\(c;199^3-199=199\left(199^2-1\right)=199\left(199-1\right)\left(199+1\right)\)

                             \(=199.198.200⋮200\left(đpcm\right)\)

Answer 5

c)199^3-199=199(199^2-1)=199.(199-1)(199+1)=199.198.200 chia het cho 200

d)2^9-1=512-1=511 chia het cho 73 nho k ung ho mik nhe