# Answer to Question #449 in Algebra for jacob

Question #449

How is it possible to overwrite the expressions without using the modulus sign:

a) |a²|;

b) |a − b|, if a > b;

c) |a − b|, if a < b;

d) | − a|, if a is negative?

a) |a²|;

b) |a − b|, if a > b;

c) |a − b|, if a < b;

d) | − a|, if a is negative?

Expert's answer

a) Since a² cannot be negative, its absolute value is also a². Thus, |a²| = a²;

b) Since a > b, |a − b| = (a − b);

c) Since a < b, |a − b| = (b − a);

d) Since a < 0, | − a| = −a.

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