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AfilCa [17]
3 years ago
13

A student does the following to simplify a rational expression. Is the work correct? Explain any errors and how you would correc

t them.
\frac{3x + x {}^{2} }{3x}  = 1 + x {}^{2}
Mathematics
1 answer:
Doss [256]3 years ago
3 0

Answer: The work done by the student is not correct.

Explanation:

The given rational expression is,

\frac{3x+x^2}{3x}

Since 3x is the common denominator of 3x and x^2.

It can be  written as,

\frac{3x+x^2}{3x}=\frac{3x}{3x}+ \frac{x^2}{3x}

Simplify the above expression,

\frac{3x+x^2}{3x}=1+ \frac{x}{3}

So the correct value of the expression is, 1+ \frac{x}{3}.

According to the student the simplified form of the expression is,

\frac{3x+x^2}{3x} =1+x^2

Which is not correct, because the student takes 3x in denominator of 3x only as shown below,

\frac{3x+x^2}{3x} =\frac{3x}{3x}+x^2=1+x^2

The error made by the student is he didn't take 3x in the denominator of x^2.

Therefore, the simplified form written by the student is incorrect.

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