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Class 9
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Math
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Algebraic Manipulation
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Definitions and notations

Algebraic Manipulation

Definitions and notations

Math
  • Algebraic Manipulation: Rearranging and simplifying algebraic expressions using operations like addition, subtraction, multiplication, and division.

  • Factorization: Breaking down expressions or numbers into factors for simplification and equation solving.

  • Common Factors: Shared factors between numbers or terms, aiding in simplification and equation solving.

  • Non-Common Factors: Factors unique to specific numbers or terms, not shared between expressions.

  • H.C.F (Highest Common Factor): The HCF of algebraic expressions is the largest expression that is a factor of two or more expressions. In other words, it is the largest expression that divides each of the given expressions without leaving a remainder.

  • L.C.M (Least Common Multiple): The LCM of algebraic expressions is the smallest expression that is a multiple of two or more expressions. In other words, it is the smallest expression that is divisible by each of the given expressions.