# Exercise 14.4 Factorization- NCERT Solutions Class 8

Go back to  'Factorization'

## Question 1

Find and correct the errors in the statement:

$4(x - 5) = 4x - 5$

### Solution

What is known?

Incorrect mathematical statement.

What is unknown?

Correct mathematical statement.

Reasoning:

Solve L.H.S.

Steps:

${\rm{S}} = 4(x - 5) \ne \rm R.H.S.$

The correct statement is $$4(x - 5) = 4x - 20$$

## Question 2

Find and correct the errors in the statement:

$x(3x + 2) = 3{x^2} + 2$

### Solution

What is known?

Incorrect mathematical statement.

What is unknown?

Correct mathematical statement.

Reasoning:

Solve L.H.S.

Steps:

\begin{align} {\rm{L.H.S}} &= x(3x + 2)\\&= 3{x^2} + 2x\\ {\rm{L.H.S}} &\ne {\rm{R.H.S}} \end{align}

The correct statement is $$x(3x + 2) = 3{x^2} + 2x$$

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