A =\(\dfrac{50653+1728}{49}-37.12\)
=1069-37.12
=1069-444
=625
B) \(\dfrac{140608-110592}{4}+52.48\)
=62800+52.48
=62800+2496
=65296
\(A=\dfrac{37^3+12^3}{49}-37.12\)
\(=\dfrac{\left(37+12\right)\left(37^2-37.12+12^2\right)}{49}-37.12\)
\(=\dfrac{49\left(37^2-37.12+12^2\right)}{49}-37.12\)
\(=37^2-37.12+12^2-37.12\)
\(=37^2-2.37.12+12^2\)
\(=\left(37-12\right)^2\)
\(=25^2=625\)
\(B=\dfrac{52^3-48^3}{4}+52.48\)
\(=\dfrac{\left(52-48\right)\left(52^2+52.48+48^2\right)}{4}+52.48\)
\(=\dfrac{4\left(52^2+52.48+48^2\right)}{4}+52.48\)
\(=52^2+52.48+48^2+52.48\)
\(=52^2+2.52.48+48^2\)
\(=\left(52+48\right)^2=100^2=10000\)
