Simplify this expression 4p 9 7p 2 – Welcome to our exploration of algebraic expressions, where we delve into the fascinating world of simplifying complex mathematical statements. Today, we embark on a journey to unravel the mysteries of the expression 4p + 9 + 7p^2, unlocking its secrets and gaining a deeper understanding of its underlying principles.
As we embark on this adventure, we will explore the fundamental concepts of algebraic expressions, uncovering the meaning behind each term and coefficient. We will delve into the art of simplifying algebraic expressions, uncovering the steps and techniques involved in transforming complex expressions into their simplest forms.
Along the way, we will encounter the concept of combining like terms, learning how to group and simplify similar terms within an expression.
Simplifying Algebraic Expressions
Simplifying algebraic expressions involves transforming complex expressions into simpler forms without altering their value. This process is crucial in algebra and mathematical calculations, as it enables us to analyze and solve equations more efficiently.
Combining Like Terms
Combining like terms is a fundamental step in simplifying algebraic expressions. Like terms are terms that have the same variable raised to the same power. To combine like terms, simply add or subtract their coefficients while keeping the variable and exponent unchanged.
For instance, in the expression 4p + 9 + 7p 2, the like terms are 4p and 7p 2. Combining them, we get 11p 2.
Numerical Calculations, Simplify this expression 4p 9 7p 2
Numerical calculations are essential in simplifying algebraic expressions. These calculations involve evaluating numerical values for variables and performing basic arithmetic operations.
For example, if we have the expression 2x + 5, and we substitute x = 3, we can perform the numerical calculation 2(3) + 5 = 11.
Using Distributive Property
The distributive property is a mathematical rule that allows us to distribute a factor over a sum or difference of terms. It is expressed as a(b + c) = ab + ac.
To simplify an expression using the distributive property, multiply the factor by each term within the parentheses. For example, in the expression 3(x + 2), we distribute 3 over x and 2 to get 3x + 6.
FAQ Explained: Simplify This Expression 4p 9 7p 2
What is the first step in simplifying an algebraic expression?
Identifying the terms and coefficients within the expression.
How do you combine like terms?
Group similar terms together and add or subtract their coefficients.
What is the distributive property?
A mathematical property that allows you to multiply a sum or difference by a factor and distribute the multiplication to each term within the sum or difference.
