## Understanding the (a*b)^2 Formula

The formula (a*b)^2 represents the **square of the product of two numbers, a and b**. This formula is a fundamental concept in algebra and has various applications in different areas of mathematics.

### Breaking Down the Formula

Let's break down the formula step by step:

**a*b:**This part represents the**product of the two numbers**, a and b.**(a*b)^2:**This part means**squaring the product obtained in step 1**. Squaring a number means multiplying it by itself.

Therefore, (a*b)^2 is equivalent to **(a*b) * (a*b)**.

### Applications of the Formula

This formula is crucial in:

**Simplifying algebraic expressions:**It allows you to efficiently simplify expressions containing squares of products.**Solving equations:**It can be used to solve equations involving squares of products.**Geometric problems:**It can be applied to calculate areas and volumes involving squares of products.

### Example

Let's consider an example:

If a = 3 and b = 4, then:

(a*b)^2 = (3*4)^2 = 12^2 = 144

Therefore, the square of the product of 3 and 4 is 144.

### Key Points to Remember

- The formula (a
*b)^2 is*b) * (a*b).**equivalent**to (a - It is
**essential**to understand the order of operations (PEMDAS/BODMAS) when applying this formula. **Practice**using the formula with different values of a and b to solidify your understanding.

By grasping the concept and applications of the (a*b)^2 formula, you can enhance your understanding of algebraic concepts and simplify various mathematical problems.