**Answer:**

The given expression is (a b)^3.

To simplify this expression, we can use the concept of the exponentiation of a product.

**Exponentiation of a product:**

When we raise a product to a power, each factor in the product is raised to that power.

For example, (a b)^3 can be written as (a b)(a b)(a b).

Expanding this expression, we have a * a * a * b * b * b.

Now, let's simplify this expression step by step.

**Step 1:**
Multiply the factors with the same base, a, together.

a * a * a = a^3.

**Step 2:**
Similarly, multiply the factors with the same base, b, together.

b * b * b = b^3.

**Step 3:**
Combine the results from Step 1 and Step 2.

a^3 * b^3.

Therefore, (a b)^3 = a^3 * b^3.

Now, let's compare the simplified expression a^3 * b^3 with the given expression a^3 b^3 3a^2b 3ab^2.

**Comparing the expressions:**

The simplified expression (a b)^3 = a^3 * b^3.

The given expression a^3 b^3 3a^2b 3ab^2 does not match the simplified expression.

Therefore, the given expression (a^3 b^3 3a^2b 3ab^2) is not equal to (a b)^3 = a^3 * b^3.

In conclusion, the statement (a b)^3 = a^3 b^3 3a^2b 3ab^2 is incorrect.

(a + b) = a³ + b³ + 3ab(a + b)