Question

so sánh A và B biết

\(A=2018^2-2016^2\)

\(B=2019^2-2017^2\)

Answer 1

\(A=\left(2018-2016\right)\left(2018+2016\right)=2.4034\)

\(B=\left(2019-2017\right)\left(2019+2017\right)=2.4036\)

Ta thấy 4034 < 4036 nên A < B.

Answer 2

\(A=2018^2-2016^2=\left(2018+2016\right)\left(2018-2016\right)=4034.2\)

\(B=2019^2-2017^2=\left(2019+2017\right)\left(2019-2017\right)=4036.2\)

Vì 4036 > 4034 nên 4036 . 2 > 4034 . 2 nên B > A

Answer 3

Áp dụng công thức: \(a^2-b^2=\left(a+b\right).\left(a-b\right)\)

Ta có:

\(A=2018^2-2016^2=\left(2018+2016\right).\left(2018-2016\right)=4034.2=8068\)

\(B=2019^2-2017^2=\left(2019+2017\right).\left(2019-2017\right)=4036.2=8072\)