SOLUTION: Apply the order of operations to simplify the following expression. 2x[(5x^2-3x+2)-(6x^3+6x^2)/3x^2]

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 can put this solution on YOUR website!
expression is:

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.

the simplified equation is:

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