What are algebraic expressions? Define like and unlike terms.
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Answer:
What are Like Terms?
In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions so that the result of the expression can be obtained very easily.
For example, 4x + 10x is an algebraic expression with like terms. In order to simplify this algebraic expression, we can add the like terms. Thus, the simplification of the given expression is 14x. In the same way, you can perform all the arithmetic operations on the like terms.
What are Unlike Terms?
Algebraic terms, which does not have the same literal coefficients, and cannot be raised to the same power are called, unlike terms.
For example, 4x + 9y is an algebraic expression with unlike terms. Because it has two different variables x and y, and not raised to the same power.
Like and Unlike Algebraic Terms Examples
Algebraic terms are those individual elements in an equation or an expression separated by ‘+’ or ‘-’ signs.
Consider the expression: 9x + 6y
We cannot simplify this any further as ‘x’ and ‘y’ are unknown. Check out another example.
4x² + 3x + 4y + 8x + 10x²
If rearranged, this expression can be re-written as:
10x² + 4x²+ 8x + 3x + 4y
By adding the like terms,
= 14x² + 11x + 4y
Answer:
In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions so that the result of the expression can be obtained very easily.