Simplifying the Expression (a8)^2  4a
This article will guide you through the process of simplifying the expression (a8)^2  4a. We'll use the principles of algebraic manipulation to achieve a more concise and understandable form.
Understanding the Expression
The expression consists of two main parts:
 (a8)^2: This represents the square of the binomial (a8).
 4a: This is a simple term with a coefficient of 4 and the variable 'a'.
Simplifying the Expression

Expand the Square: We start by expanding the square of the binomial. Remember that squaring a binomial means multiplying it by itself:
(a8)^2 = (a8)(a8)
Using the distributive property (or FOIL method), we get:
(a8)^2 = a^2  8a  8a + 64 = a^2  16a + 64

Combine Terms: Now we can substitute the expanded form back into the original expression:
(a8)^2  4a = a^2  16a + 64  4a

Simplify: Combine the 'a' terms:
a^2  16a + 64  4a = a^2  20a + 64
Final Result
Therefore, the simplified form of the expression (a8)^2  4a is a^2  20a + 64.
This simplified form makes it easier to analyze the expression, perform further operations, or solve equations involving it.