- Algebraic expression is formed from variables and constants using different operations.
- Expressions are made up of terms.
- A term is the product of factors. Factors may be numerical as well as algebraic (literal).
- Coefficient is the numerical factor in a term. Sometimes, any factor in a term is called the coefficient of the remaining part of the term.
- The terms having the same algebraic factors are called like terms.
- The terms having different algebraic factors are called unlike terms.
- Expression with one term is called a ‘Monomial’.
- Expression with two unlike terms is called a ‘Binomial’.
- Expression with three unlike terms is called a ‘Trinomial’.
- In general, an expression with one or more than one term (with nonnegative integral exponents of the variables) is called a ‘Polynomial’.
- The sum (or difference) of two like terms is a like term with coefficient equal to the sum (or difference) of coefficients of the two like terms.
- When we add (or subtract) two algebraic expressions, the like terms are added (or subtracted) and the unlike terms are written as they are.
- To find the value of an expression, we substitute the values of the variables in the expression and then simplify.
- Rules and formulas in mathematics are written in a concise and general form using algebraic expressions.
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