%5E2-standard-form.jpeg "(a-5)^2 Standard Form")
Evaluating the Expression (a-5)^2 in Standard Form
In algebra, it is essential to understand how to evaluate expressions and simplify them to their standard form. In this article, we will explore how to evaluate the expression (a-5)^2 and simplify it to its standard form.
Understanding the Expression (a-5)^2
The expression (a-5)^2 is a quadratic expression, where a is a variable and 5 is a constant. The expression is squared, meaning we need to multiply it by itself.
Expanding the Expression
To evaluate the expression, we need to expand it using the distributive property of multiplication over addition. This property states that a(b+c) = ab + ac.
Applying this property to our expression, we get:
(a-5)^2 = (a-5)(a-5)
= a(a) - a(5) - 5(a) + (-5)(-5)
= a^2 - 5a - 5a + 25
Simplifying the Expression
Now, we can simplify the expression by combining like terms:
= a^2 - 10a + 25
This is the standard form of the expression (a-5)^2.
Conclusion
In conclusion, we have evaluated the expression (a-5)^2 and simplified it to its standard form, which is a^2 - 10a + 25. This demonstrates the importance of understanding the distributive property of multiplication over addition and how to apply it to simplify algebraic expressions.
I hope this article has been helpful in understanding how to evaluate and simplify the expression (a-5)^2.
