(x+5)^2-10x

Jasonbradley

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Jun 17, 2024

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Simplifying (x+5)^2 - 10x

In mathematics, simplifying expressions is a crucial skill. This article will guide you through simplifying the expression (x+5)^2 - 10x.

Understanding the Steps

To simplify the expression, we will use the following steps:

1. Expand the square: (x+5)^2 means (x+5) multiplied by itself.
2. Distribute: Multiply -10x into the expanded expression.
3. Combine like terms: Combine the terms with the same variable and power.

Simplifying the Expression

Let's apply these steps to our expression:

1. Expanding the square: (x+5)^2 = (x+5)(x+5) = x^2 + 5x + 5x + 25 = x^2 + 10x + 25

2. Distributing -10x: x^2 + 10x + 25 - 10x

3. Combining like terms: x^2 + (10x - 10x) + 25 = x^2 + 25

The Simplified Expression

Therefore, the simplified form of (x+5)^2 - 10x is x^2 + 25.

Conclusion

By applying the principles of expanding, distributing, and combining like terms, we have successfully simplified the given expression. This process demonstrates the power of algebraic manipulation to arrive at a more concise and manageable form.