(x+2y)2 Solution

Jasonbradley

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Jun 16, 2024

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Expanding the Square: Solving (x + 2y)²

The expression (x + 2y)² represents the square of a binomial. To solve this, we need to expand it using the distributive property or the FOIL method.

Understanding the Formula:

The formula for squaring a binomial is:

(a + b)² = a² + 2ab + b²

Applying the Formula:

1. Identify a and b: In our case, a = x and b = 2y.
2. Substitute into the formula: (x + 2y)² = x² + 2(x)(2y) + (2y)²
3. Simplify: (x + 2y)² = x² + 4xy + 4y²

Therefore, the solution to (x + 2y)² is x² + 4xy + 4y².

Key Points:

• FOIL Method: You can also expand the expression using the FOIL method (First, Outer, Inner, Last).
• Visualizing the Solution: Think of (x + 2y)² as (x + 2y) multiplied by itself. When you visualize this multiplication, you can see how each term in the expansion is formed.

Remember: Always simplify your answer by combining like terms.