(x+y)2 Answer Brainly

2 min read Jun 17, 2024
(x+y)2 Answer Brainly

Understanding (x + y)²: A Simple Explanation

The expression (x + y)² is a common algebraic term that often causes confusion for students. It represents the square of the sum of two variables, x and y. In simpler terms, it means multiplying the entire sum (x + y) by itself.

Expanding the Expression

To find the answer, we need to expand the expression:

(x + y)² = (x + y) * (x + y)

Now, we use the distributive property to multiply each term in the first bracket by each term in the second bracket:

(x + y) * (x + y) = x * (x + y) + y * (x + y)

Expanding further:

x * (x + y) + y * (x + y) = x² + xy + xy + y²

Finally, we combine the like terms:

x² + xy + xy + y² = x² + 2xy + y²

The Key Point:

The expansion of (x + y)² gives us x² + 2xy + y². This formula is essential for solving various algebraic problems.

Example:

Let's say x = 2 and y = 3. We can substitute these values into our expanded formula:

(2)² + 2(2)(3) + (3)² = 4 + 12 + 9 = 25

Therefore, (x + y)² = 25 when x = 2 and y = 3.

Remember:

Always remember the distributive property and practice expanding similar expressions. Understanding this basic formula is crucial for mastering more complex algebraic concepts.