Question

Chứng Minh Rằng

aabb=a0b.11aaabbb=a00b.111

Answer 1

1.

\(\overline{aabb}=11\overline{a0b}\)

\(\Rightarrow1100a+11b=11\left(100a+b\right)\)

\(\Rightarrow1100a+11b=1100a+11b\)

\(\RightarrowĐCPM\)

Answer 2

2.

\(\overline{aaabbb}=111\overline{a00b}\)

\(\Rightarrow111000a+11b=111\left(100a+b\right)\)

\(\Rightarrow111000a+11b=111000a+11b\)

\(\RightarrowĐPCM\)

Answer 3

\(\overline{aabb}=100\overline{aa}+\overline{bb}=100a11+11b\)

\(=11.\left(100a+b\right)=\overline{a0b}.11\)

\(\overline{aaabbb}=1000a111+111b=111\left(1000a+b\right)\)

\(=\overline{a00b}.111\)