Example A.4.1.
Can you simplify the first expression into the second expression? (Decide whether the expressions are equivalent.)
- Is
equivalent to - Is
equivalent to for - Is
equivalent to
Solution.
- If the expressions are equivalent, they must be equal for every value of the variable. Let’s test with
ThenNo, the expressions are not equivalent. - Because
it is also true that Yes, the expressions are equivalent. - Let
ThenNo, the expressions are not equivalent.