# Exercise 14.4 Factorization- NCERT Solutions Class 8

Rational Numbers

Linear Equations in One VariableUnderstanding QuadrilateralsPractical GeometryData HandlingSquares and Square RootsCubes and Cube RootsComparing QuantitiesAlgebraic Expressions and IdentitiesVisualising Solid ShapesMensurationExponents and PowersDirect and Inverse ProportionsFactorizationIntroduction to GraphsPlaying with Numbers

## Chapter 14 Ex.14.4 Question 1

Find and correct the errors in the statement:

\[4(x - 5) = 4x - 5\]

**Solution**

**Video 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 \(4(x - 5) = 4x - 20\)

## Chapter 14 Ex.14.4 Question 2

Find and correct the errors in the statement:

\[x(3x + 2) = 3{x^2} + 2\]

**Solution**

**Video 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 \(x(3x + 2) = 3{x^2} + 2x\)