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Simplify the following algebraic expressions?
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Simplify the following algebraic expressions?
Simplification of Algebraic Expressions
Algebraic expressions involve variables, constants, and mathematical operations like addition, subtraction, multiplication, and division. Simplification of algebraic expressions involves reducing the expression to its simplest form by combining like terms, performing operations, and removing any unnecessary parentheses or terms.
Examples:
1. Simplify 3x + 2x - 5
To simplify this expression, we need to combine like terms. The like terms in this expression are 3x and 2x, which we can combine to get 5x. So, the simplified expression is:
3x + 2x - 5 = 5x - 5
2. Simplify 2(3x + 4) - 5(x - 2)
To simplify this expression, we need to distribute the 2 and -5 to the terms inside the parentheses and then combine like terms. So, we get:
2(3x + 4) - 5(x - 2) = 6x + 8 - 5x + 10 = x + 18
3. Simplify 5xy - 2x + 3xy - 4y
To simplify this expression, we need to combine the like terms. The like terms in this expression are 5xy and 3xy, which we can combine to get 8xy. The other like terms are -2x and -4y, which we can combine to get -2x - 4y. So, the simplified expression is:
5xy - 2x + 3xy - 4y = 8xy - 2x - 4y
Conclusion:
Simplification of algebraic expressions is an important concept in mathematics that helps in solving complex equations and problems. It is essential to understand the rules of simplification and practice solving various expressions to become proficient in algebraic manipulations.
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Simplify the following algebraic expressions?
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Simplify the following algebraic expressions? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify the following algebraic expressions? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the following algebraic expressions?.
Simplify the following algebraic expressions? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify the following algebraic expressions? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the following algebraic expressions?.
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