an identity is true for all values of its variables
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Such an equality, true for every value of the variable in it, is called an identity. Thus, (a + 1) (a + 2) = a2 + 3a + 2 is an identity. An equation is true for only certain values of the variable in it. It is not true for all values of the variable.
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An identity is an equality, which is true for all values of the variables in the equality. ... Another useful identity is (x + a) (x + b) = x2+ (a + b) x + ab --(IV)
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