2-answer.jpeg "(x+5)2 Answer")
(x+5)²: A Simple Algebraic Expression
In algebra, we often come across expressions that involve variables and constants. One such expression is (x+5)², which is a simple algebraic expression that can be evaluated and simplified.
What does (x+5)² mean?
The expression (x+5)² is a shorthand notation for "(x+5) squared" or "the square of (x+5)". In other words, it means to multiply the expression x+5 by itself.
(x+5)² = (x+5)(x+5)
To evaluate (x+5)², we need to multiply the expression x+5 by itself. Using the distributive property of multiplication over addition, we get:
(x+5)(x+5) = x² + 5x + 5x + 25
Simplifying the Expression
Combine like terms:
x² + 10x + 25
And that's the final answer! (x+5)² simplifies to x² + 10x + 25.
Example
Let's say we want to find the value of (x+5)² when x = 3. Substituting x = 3 into the simplified expression, we get:
(3)² + 10(3) + 25
= 9 + 30 + 25
= 64
So, (x+5)² equals 64 when x = 3.
In conclusion, (x+5)² is a simple algebraic expression that can be evaluated and simplified using the distributive property of multiplication over addition.
