How to Make Equivalent Rational Expressions?

Factor the numerator and denominator completely

Identify any common factors in the numerator and denominator

Cancel the common factors

Multiply the numerator and denominator by the same nonzero expression if needed

Rewrite the expression in simplified form

Use a common denominator when combining rational expressions

Multiply each expression by an appropriate form of 1 to create equivalent expressions

Keep the domain restrictions unchanged

Verify the new expression has the same values as the original for all allowed inputs

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