(x+5)(x+5) Solve Using Identity

Jasonbradley

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Jun 16, 2024

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Solving (x+5)(x+5) Using the Identity

This expression can be solved using the square of a binomial identity, which states:

(a + b)² = a² + 2ab + b²

Let's break down how to apply this to our problem:

1. Identify 'a' and 'b': In our expression, (x + 5)(x + 5), we can see that 'a' = x and 'b' = 5.

2. Apply the Identity: Using the identity, we substitute 'a' and 'b':

   (x + 5)² = x² + 2(x)(5) + 5²

3. Simplify: Expanding the expression, we get:

   (x + 5)² = x² + 10x + 25

Therefore, the solution of (x + 5)(x + 5) using the identity is x² + 10x + 25.

Note: This method is much faster and more efficient than expanding the expression directly by multiplying each term. It saves time and prevents potential errors.