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Algebraic manipulation

Perform algebraic manipulation by simplifying expressions through combining like terms, such as transforming 2a + 3b + 5a - 9b into 7a - 6b. Expand products of algebraic expressions, for example, expanding 3x(2x - 4y) and products of two brackets with one variable, like (2x + 1)(x - 4). Factor expressions by identifying and extracting common factors, ensuring complete factorization, as in the case of 9x + 15xy being factored to 3x(3x + 5y).

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CambridgeIGCSEMathematicsCore Algebra and graphs

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Algebraic manipulation outcomes1 objectives
  • Perform algebraic manipulation by simplifying expressions through combining like terms, such as transforming 2a + 3b + 5a - 9b into 7a - 6b. Expand products of algebraic expressions, for example, expanding 3x(2x - 4y) and products of two brackets with one variable, like (2x + 1)(x - 4). Factor expressions by identifying and extracting common factors, ensuring complete factorization, as in the case of 9x + 15xy being factored to 3x(3x + 5y).

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