Factorise `8x^3+27 y^3+36 x^2y+54 x y^2`.

Explanation

To factorize the expression \(8x^3 + 27y^3 + 36x^2y + 54xy^2\), we can follow these steps:

### Step 1: Identify the Cubes
We start by recognizing that \(8x^3\) can be expressed as \((2x)^3\) and \(27y^3\) can be expressed as \((3y)^3\).

\[ 8x^3 = (2x)^3 \quad \text{and} \quad 27y^3 = (3y)^3 \]
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