Question 720670
{{{(5+h)^3}}}=(5+h)(5+h)(5+h)
let's multiply the first pair of brackets using FOIL (First, Outer, Inner, Last) and leave the last bracket alone for now
giving
{{{(5^2+5h+5h+h^2)(5+h)}}}
simplifying this gives
{{{(25+10h+h^2)(5+h)}}}
now we have to multiply these two brackets together
we multiply everything in the first bracket by each term in the second
we'll multiply everything by the 5 first and then by the h
{{{125+50h+5h^2+25h+10h^2+h^3}}}
now we'll gather like terms and simplify.
giving
{{{125+75h+15h^2+h^3}}}