Question 257890: Apply the order of operations to simplify the following expression. 2x[(5x^2-3x+2)-(6x^3+6x^2)/3x^2] Answer by Theo(13342) (Show Source):
you process operations within parentheses first starting from the inner parentheses and working to the outer parentheses.
your expressions within the inner parentheses can't be processed any further.
they are:
and and
your terms in the outer parentheses need to be processed next.
they are:
you would need to divide by first.
that gets you
the expression within the outer parenthese becomes:
you process this next by removing the inner parentheses from the outer parentheses to get:
which becomes:
you replace the original expression within the outer parentheses by this to make your original equation of:
becomes:
you multiply each term within the parentheses by 2*x to get:
if you did this right, then you should be able to get the same results in the original equation and the final equation for any value of x.
take x = 5
final equation of becomes:
original equation of becomes:
which becomes:
which becomes:
which becomes:
which becomes:
1000
since they both come up with the same answer, the final equation is equivalent to the original equation which indicates we simplified the equation properly.
