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An algebraic expression is a mathematical phrase that can contain numbers, variables (like xx, yy, etc.), and operations (such as addition, subtraction, multiplication, and division).
Here are some examples of how you might form algebraic expressions:
Simple Addition: Suppose you have two numbers, aa and bb. You can form an algebraic expression for their sum by simply writing a+ba+b. Here, aa and bb are the variables representing the numbers.
Multiplication: If you want to express the product of two numbers, say cc and dd, you would write c×dc×d or simply cdcd.
Combining Operations: You can combine different operations within an algebraic expression. For example, if you want to express the sum of two numbers multiplied by a third number, you would write (a+b)×c(a+b)×c.
Subtraction: To express the difference between two numbers, say ee and ff, you would write e−fe−f.
Division: If you want to express the quotient of two numbers, say gg and hh, you would write ghhg.
Combining Variables and Numbers: You can combine variables and numbers within the same expression. For example, 2x+32x+3 represents the sum of two times xx and 3.
Exponents: To express a number raised to a power, you use an exponent. For example, x2x2 represents xx squared, and y3y3 represents yy cubed.
Remember, algebraic expressions are flexible and can be as simple or complex as needed to represent mathematical relationships. The key is to understand the rules of algebra and how different elements can be combined to form expressions that accurately represent the given situation.
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