x-in-standard-form.jpeg "(2x+3)x In Standard Form")
Simplifying Algebraic Expressions: (2x + 3)x
In mathematics, it is crucial to express algebraic expressions in their standard form. This ensures consistency and clarity when performing operations. Let's examine the expression (2x + 3)x and transform it into its standard form.
Understanding the Expression
The expression (2x + 3)x represents a product of two factors:
- (2x + 3): This is a binomial, meaning it has two terms.
- x: This is a monomial, consisting of a single term.
Applying the Distributive Property
To simplify the expression, we utilize the distributive property:
- a(b + c) = ab + ac
Applying this to our expression:
(2x + 3)x = 2x * x + 3 * x
Simplifying the Terms
Now, we multiply the terms:
2x * x = 2x² 3 * x = 3x
Standard Form
Combining the simplified terms, we get the standard form of the expression:
(2x + 3)x = 2x² + 3x
This is the standard form of the expression, arranged in descending order of exponents.