Note that in the first step, the radical is treated as a grouping symbol, like parentheses. Also, in the third step, the fraction bar is considered a grouping symbol so the numerator is considered to be grouped.
For some activities we perform, the order of certain operations does not matter, but the order of other operations does. For example, it does not make a difference if we put on the right shoe before the left or vice-versa. However, it does matter whether we put on shoes or socks first. The same thing is true for operations in mathematics.
Commutative properties
The
commutative property of addition states that numbers may be added in any order without affecting the sum.
$a+b=b+a$
We can better see this relationship when using real numbers.
It is important to note that neither subtraction nor division is commutative. For example,
$\text{\hspace{0.17em}}17-5\text{\hspace{0.17em}}$ is not the same as
$\text{\hspace{0.17em}}5-17.\text{\hspace{0.17em}}$ Similarly,
$\text{\hspace{0.17em}}20\xf75\ne 5\xf720.$
Associative properties
The
associative property of multiplication tells us that it does not matter how we group numbers when multiplying. We can move the grouping symbols to make the calculation easier, and the product remains the same.
I think the formula for calculating algebraic is the statement of the equality of two expression stimulate by a set of addition, multiplication, soustraction, division, raising to a power and extraction of Root. U believe by having those in the equation you will be in measure to calculate it
the Cayley hamilton Theorem state if A is a square matrix and if f(x) is its characterics polynomial then f(x)=0 in another ways evey square matrix is a root of its chatacteristics polynomial.