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What is an algebraic expression that has no like terms and no parentheses?
A simplified expression.
What can you simplify an expression by combining what?
Like Terms and Variables
What parts of an algebraic expression are added together?
Like terms
Is a binomial an algebraic expression with one term?
It's not. it is an algebraic expression (or a polynomial) containing TWO terms that are not like terms. You can notice it easily in the word itself, "bi" means two.
What does collect like terms mean?
In algebra collect like terms means combining the like terms together. It can be done with the help of variables, powers and the terms which have like properties. When collecting like terms the corresponding sign of a particular number will carry with the term.For Example:Combine the like terms and simplify the expression 2x + 8y +2 + 4x + y + 1SOLUTION:The given expression is 2x + 8y +2 + 4x + y + 1The terms in the given expression is 2x, 8y, 2 , 4x, y, 1.Now combine the like terms with the help of variables.Collect 2x and 4x together, 8y and y together and the constants 2 and 1 together.The simplified answer for the given expression is= 2x + 8y +2 + 4x + y + 1= 2x+4x +8y +y + 2+1= 6x + 9y +3
