(3-2x)(3+2x) Answer Class 9

Jasonbradley

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Jun 16, 2024

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Understanding (3-2x)(3+2x)

This expression is a classic example of a difference of squares. This pattern is quite common in algebra and understanding it can greatly simplify your calculations.

What is the Difference of Squares?

The difference of squares pattern states that:

(a - b)(a + b) = a² - b²

In our case, a = 3 and b = 2x.

Solving the Expression

1. Identify the pattern: We see that (3-2x) and (3+2x) follow the difference of squares pattern.
2. Apply the formula: We can directly apply the formula: (3-2x)(3+2x) = 3² - (2x)²
3. Simplify: = 9 - 4x²

Key Points to Remember

• Memorize the difference of squares pattern: This will save you time and effort in solving similar problems.
• Identify the pattern: Always look for patterns in algebraic expressions to simplify calculations.
• Practice: The more you practice, the more comfortable you'll become with applying these patterns.

By understanding the difference of squares pattern, you can confidently solve similar expressions in your class 9 math.