Ex.14.3 Q23 Factorization - NCERT Maths Class 8

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Question

Q23. Find and correct the errors in the statement:

\[\frac{{4x + 5}}{{4x}} = 5\]

Text Solution

What is known?

Incorrect mathematical statement.

What is unknown?

Correct mathematical statement.

Reasoning:

Solve \(L.H.S.\)

Steps:

\[\begin{align}L.H.S. &= \frac{{4x + 5}}{{4x}} = \frac{{4x}}{{4x}} + \frac{5}{{4x}}\\&= 1 + \frac{5}{{4x}}\\L.H.S. &\ne R.H.S.\end{align}\]

The correct statement is \(\begin{align}\frac{{4x + 5}}{{4x}} = 1 + \frac{5}{{4x}} \end{align}\)