Toán so sanh A=(2019^2019+2020^2019)^2020 va B=(2019^2020+2020^2020)^2019 03/12/2021 By Jade so sanh A=(2019^2019+2020^2019)^2020 va B=(2019^2020+2020^2020)^2019
B=(2019^2020+2020^2020)^2019 = ( 2019^2019 × 2019 + 2020^ 2019 ×2020) ^2019 A=(2019^2019+2020^2019)^2020 = ( 2019 ^2019 + 2020 ^2019) ^ 2019 × (2019^2019 + 2020^2019) ⇒ Lấy thử B / A = ( 2019^2019 × 2019 + 2020^ 2019 ×2020) ^2019 / ( 2019 ^2019 + 2020 ^2019) ^ 2019 × (2019^2019 + 2020^2019) = 2019 + 2020 / (2019^2019 + 2020^2019) ⇒ A>B Trả lời
B=(2019^2020+2020^2020)^2019
= ( 2019^2019 × 2019 + 2020^ 2019 ×2020) ^2019
A=(2019^2019+2020^2019)^2020
= ( 2019 ^2019 + 2020 ^2019) ^ 2019 × (2019^2019 + 2020^2019)
⇒ Lấy thử
B / A = ( 2019^2019 × 2019 + 2020^ 2019 ×2020) ^2019 / ( 2019 ^2019 + 2020 ^2019) ^ 2019 × (2019^2019 + 2020^2019)
= 2019 + 2020 / (2019^2019 + 2020^2019)
⇒ A>B