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Identify the equivalent expression for each of the expressions below

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Please provide the expressions to identify their equivalent expressions.

Explanation

Equivalence means two expressions simplify to the same value for all values of the variables within their domain. To identify an equivalent form, you transform one expression using algebraic rules, factoring, expanding, combining like terms, and applying identities (e.g., trigonometric or logarithmic identities) until it matches the other expression or a common simplified form. Always verify by simplifying both sides or testing representative values within the domain.

Key Points

  • 1, Clarify the exact expressions to compare and the domain of the variables.
  • 2, Apply appropriate identities and algebraic rules to transform and simplify; verify equivalence by reduction to a common form or by substitution.
  • 3, Check edge cases and domain restrictions to ensure the equivalence holds for all permissible values.
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