Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Simplify each rational expression. Assume that no variable has a value that results in a denominator with a value of zero.
![The expression is a mathematical fraction.
**Problem 43:**
\[
\frac{3z^2 + 6z}{3z}
\]
**Explanation:**
This expression represents a rational function where the numerator is \(3z^2 + 6z\) and the denominator is \(3z\). The goal is often to simplify the fraction by factoring the numerator and canceling common terms, if possible.
To simplify:
1. Factor the numerator: \(3z^2 + 6z = 3z(z + 2)\).
2. Cancel the common factor of \(3z\) in the numerator and the denominator:
\[
\frac{3z(z + 2)}{3z} = z + 2
\]
Thus, the simplified form of the expression is \(z + 2\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62623089-88fd-49ab-878d-cd00177568ec%2Fa0011757-3068-4466-b175-73d30c34a3e3%2Fk0d0vx8_processed.jpeg&w=3840&q=75)
The given expression is
(3z2+6z)/(3z)
Step by step
Solved in 2 steps with 1 images
