Operations on Algebraic Expressions from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
Operations on algebraic expressions involve various mathematical operations such as addition, subtraction, multiplication, and division. These operations are performed on algebraic expressions which consist of variables, constants, and mathematical operators. To simplify algebraic expressions, it is important to understand the rules for performing these operations accurately. When adding or subtracting algebraic expressions, it is crucial to combine like terms. Like terms are terms that have the same variable raised to the same power. By adding or subtracting like terms, the expression can be simplified by combining terms with similar variables. In multiplication of algebraic expressions, the distributive property is applied. This property states that when multiplying a sum by a number, each term inside the parentheses must be multiplied by that number. The result is then added together to get the final expression. Division of algebraic expressions involves dividing the terms of one expression by the terms of another expression. This is done by multiplying the dividend by the reciprocal of the divisor. The result is then simplified by cancelling out common factors. Furthermore, operations on algebraic expressions can also involve simplifying complex expressions by following the order of operations. This includes performing operations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. By understanding and applying the rules for operations on algebraic expressions, one can simplify complex expressions and solve algebraic equations more efficiently. Practice and familiarity with these operations are essential for mastering algebraic concepts and problem-solving in mathematics.
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