Question

How to proof this? Is this some property?
(L + h)^3 = L^3*(1+ (h/L) )^3

Answer 1

Yes. Do you know the property of exponents:\[(ab)^n=\left ( a^n\right ) \left ( b^n\right ) \]???

Answer 2

First,\[h=(h)(1)=(h)\left ( \frac{L}{L}\right ) =(L)\left ( \frac{h}{L}\right )\]So,\[L+h=L+L\left ( \frac{h}{L}\right ) =(L)\left ( 1+\frac{h}{L}\right )\]

Answer 3

Then apply the property.