yes
the order of operations
It is a binomial algebraic expression. Its value can be evaluated if x is known.
If you change the order of operations, you will get a different result. The person who wrote the expression had a specific order of operations in mind (using generally-accepted rules), so arbitrarily using some other order of operations is, quite simply, wrong.
Parentheses.
Grouping symbols are parentheses such as {}, (), []. They need to be evaluated before other operations. If there are a number of nested parentheses, they must be evaluated starting with the innermost.
Not specifically trigonometry, but functions in general. As a general rule, functions must be evaluated before using the results in other parts of the calcuation.
Anything within parentheses should be evaluated first. Also, exponents have a higher priority than multiplication, division, addition or subtraction.
In that case, you need to know the rules about which operations to do first. In normal algebra, powers have a higher priority than multiplications and divisions; and these, in turn, have a higher priority than addition and subtraction.
Parentheses, or brackets, are often used as a way of indicating that the operation within the parentheses must be evaluated before other operations. Parentheses take top priority in the order in which operations are carried out (PEMDAS in US, BIDMAS in UK).
The usual rule in algebra is to first do all multiplications and divisions from left to right; then all additions and subtractions, also from left to right. This order can be changed with parentheses - anything within parentheses should be evaluated first.After parentheses and before the rest (as listed above), exponents should be evaluated. In summary, the proper and full order of operations is:ParenthesesExponentsMultiply and divideAdd and subtractA commonly-used acronym to remember this order is: PEMDAS (Please Excuse My Dear Aunt Sally).
Expressions are evaluated according to the language grammar. Operator precedence and associativity are derived from the grammar in order to aid our understanding, however the order of evaluation is independent of both because the C language standard does not specify operator precedence. The general arithmetic rules of precedence hold for most expressions such that parenthesised operations take precedence over orders followed by multiplication/division operations and finally addition/subtraction operations (as per the PODMAS acronym). Many of the more complex expressions we encounter can generally be evaluated according to the operator precedence table, which includes the associativity, such that operations with higher precedence are bound more tightly (as if with parenthesis) than those with lower precedence.
BIDMAS (not BIODMAS) is a acronym to help people remember the order in which arithmetical operations must be evaluated. In the US it is better know as PEMDAS. Brackets (Parentheses) Index (Exponent) Division Multiplication Addition Subtraction D and M are given the same priority and evaluated from left to right (and hence the reversal in the US acronym). A and S are given the same priority and evaluated from left to right
The law of operations defines the order in which operations should be carried out. This is to ensure that a mathematical expression gives the same answer each time. Otherwise 5 + 3 * 6 could be evaluated as either of the following:+ first gives: 8 * 6 = 48 * first gives: 5 + 18 = 23
If you put in parentheses, you can change the order of operations in many cases, as parentheses come before everything in the order of operations.
It means that the calculator can follow the order of operations and do the order of operations for you but, you need to know how to do them on your own too.
Basically the same as the standard algebra rules: First, powers are evaluated (I am not sure about the order, but you can try it out); then multiplications and divisions are evaluated from left to right, then additions and subtractions are evaluated from left to right. The order can be changed with parentheses.