(x-5)^2 In Standard Form

Jasonbradley

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Jun 17, 2024

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Expanding (x - 5)^2 to Standard Form

The expression (x - 5)^2 represents the square of the binomial (x - 5). To express it in standard form, we need to expand it and simplify.

Expanding the Expression

We can expand the expression using the FOIL method:

First: x * x = x^2 Outer: x * -5 = -5x Inner: -5 * x = -5x Last: -5 * -5 = 25

Combining the terms, we get:

x^2 - 5x - 5x + 25

Simplifying to Standard Form

Finally, we combine the like terms:

x^2 - 10x + 25

This is the standard form of the expression (x - 5)^2.

Conclusion

By expanding and simplifying the expression, we have transformed (x - 5)^2 into its standard form: x^2 - 10x + 25. This form makes it easier to identify the coefficients of the quadratic equation and understand its properties.