\(\dfrac{56^3+44^3}{100}-14.56\)
\(=\dfrac{\left(56+44\right)\left(56^2-56.44+44^2\right)}{100}-14.56\)
\(=\dfrac{100.\left(56^2-56.44+44^2\right)}{100}-14.56\)
\(=\)\(56^2-44.56+44^2-14.56\)
\(=\left(56^2-14.56\right)-\left(44.56-44^2\right)\)
\(=56\left(56-14\right)-44\left(56-44\right)\)