91Ó°ÊÓ

In algebra, variables are symbols used to represent unknown values. Typically, variables are denoted by letters like x, y, or z. Variables can change and take on different values depending on the context of the problem.
In the given exercise, the variable is 'y'. This means both terms, 9y⁴ and 9y², include 'y' as a variable.
Variables help us generalize mathematical principles and construct expressions to solve more complex problems.

Exponents are used to denote the repeated multiplication of a number or a variable by itself. An exponent is written as a small number to the upper right of the base number or variable. For example, in the term 9y⁴, 4 is the exponent indicating y is multiplied by itself four times.
In the exercise, we are comparing exponents: 4 in 9y⁴ and 2 in 9y². Exponents show up in many areas of math, including polynomials and equations, making them crucial to understand.
It is important to note that for terms to be like terms, they need the same variables raised to the same exponents.

Polynomials are mathematical expressions that include variables, coefficients, and exponents. They can be simple like 3x + 2 or more complex like 4x³ + 5x² - x + 6. Polynomials are classified based on their degree, which is determined by the highest exponent in the expression.
The terms 9y⁴ and 9y² are parts of polynomials. Even though they have the same variable, their different exponents mean they are not like terms. Understanding polynomials is essential because they form the foundation for various algebraic operations and are widely used in calculus and applied mathematics.
For terms within a polynomial to be combined through addition or subtraction, they must be like terms, which requires the same variable and exponent.