Posted by Karen on Thursday, August 16, 2012 at 5:21pm.
The brackets [] are superfluous if the formula is entered into an algebraic calculator or if calculated by someone who follows the rules of algebraic priorities (x and ÷ before + and -), and from left to right for operators of the same priority.
So
a[(b-c)/d]-f
is mathematically the same as
a(b-c)/d-f
But
x-3/x+2 is NOT the same as
(x-3)/(x+2)
In the second expression, the parentheses () force the subtraction and addition to be performed before the division. Without the parentheses, the mathematical meaning of the expression is then
x - (3/x) + 2
which is completely different.
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