Factorise h2+20hk+100k2

Sure, let's factorise the given expression h^2 + 20hk + 100k^2.

Step 1: Identify the expression as a perfect square trinomial. A perfect square trinomial is a trinomial that can be written as (a+b)^2 or (a-b)^2. In this case, the expression is a perfect square trinomial because it can be written as (a+b)^2 where a = h and b = 10k.

Step 2: Write the expression in the form (a+b)^2. So, h^2 + 20hk + 100k^2 = (h + 10k)^2.

So, the factorised form of h^2 + 20hk + 100k^2 is (h + 10k)^2.