\(A=\frac{10^8+2}{10^8-1}=\frac{\left(10^8-1\right)+3}{10^8-1}=\frac{10^8-1}{10^8-1}+\frac{3}{10^8-1}=1+\frac{3}{10^8-1}\)

\(B=\frac{10^8}{10^8-3}=\frac{\left(10^8-3\right)+3}{10^8-3}=\frac{10^8-3}{10^8-3}+\frac{3}{10^8-3}=1+\frac{3}{10^8-3}\)

Vì \(1+\frac{3}{10^8-1}<1+\frac{3}{10^8-3}\) nên A < B

Ta có : 

 A = 10⁸ + 2 / 10 ⁸ - 1 = 1 + 3 / 10 ⁸ - 1

B = 10⁸ / 10 ⁸ - 3 =  1 + 3 / 10⁸ - 3

Vì 3/ 10⁸ - 1 < 3 / 10⁸ - 3=> A < B

A = \(\dfrac{10^8+2}{10^8-1}\) = \(\dfrac{\left(10^8-1\right)+3}{10^8-1}\) = \(\dfrac{10^8-1}{10^8-1}\) + \(\dfrac{3}{10^8-1}\) = 1+ \(\dfrac{3}{10^8-1}\)

B = \(\dfrac{10^8}{10^8-3}\) = \(\dfrac{\left(10^8-3\right)+3}{10^8-3}\) = \(\dfrac{10^8-3}{10^8-3}\) +\(\dfrac{3}{10^8-3}\)= 1+ \(\dfrac{3}{10^8-3}\)

Vì 1 +\(\dfrac{3}{10^8-1}\) < 1 + \(\dfrac{3}{10^8-3}\) nên A < B

\(\dfrac{3}{10^8-3}\)\(\dfrac{3}{10^8-3}\)

mk giải cho câu A rồi tự suy mấy câu khác nhé!

ta có : A = 10^8 + 2/10^8 - 1

     => A = 10^8 - 1 + 3/10^8 - 1

     => A = 1+ 3/10^8 - 1

          B = 10^8/10^8 - 3

    =>  B = 10^8 - 3 + 3/10^8 - 3

    =>  B = 1+ 3/10^8 - 3

vì 3/10^8 - 1 < 3/10^8 - 3

=> 1 + 3/10^8 - 1 < 1 + 3/10^8 - 3

=> A < B

vậy A < B

cách này cô dạy mk đó

SO SÁNH

\(A=\frac{10^8+2}{10^8+1}=1+\frac{1}{10^8+1}

10^8+2>10^8

10^8+1<10^^8-3

\(10^8=a\)

\(A-B=\frac{a+2}{a+1}-\frac{a}{a-3}=\frac{\left(a+2\right)\left(a-3\right)-a\left(a+1\right)}{\left(a+1\right)\left(a-3\right)}=\frac{-2a-6}{\left(a+1\right)\left(a-3\right)}