# Ex.14.3 Q20 Factorization - NCERT Maths Class 8

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## Question

Find and correct the errors in the statement:

\[\begin{align}\frac{{3{x^2} + 1}}{{3{x^2}}} = 1 + 1 = 2\end{align}\]

## Text Solution

**What is known?**

Incorrect mathematical statement.

**What is unknown?**

Correct mathematical statement.

**Reasoning:**

Solve \(L.H.S.\)

**Steps:**

\[\begin{align}L.H.S. &= \frac{{3{x^2} + 1}}{{3{x^2}}} = \frac{{3{x^2}}}{{3{x^2}}} + \frac{1}{{3{x^2}}}\\

&= 1 + \frac{1}{{3{x^2}}}\\L.H.S. &\ne R.H.S.\end{align}\]

The correct statement is

\[\begin{align}\frac{{3{x^2} + 1}}{{3{x^2}}} = 1 + \frac{1}{{3{x^2}}}\end{align}\]