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Class 8 Maths Solutions

Factorization

Ex.14.4

# Exercise 14.4 Factorization- NCERT Solutions Class 8

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Factorisation

Introduction to GraphsRational NumbersLinear Equations in One VariableUnderstanding QuadrilateralsPractical GeometryData HandlingSquares and Square RootsCubes and Cube RootsComparing QuantitiesAlgebraic Expressions and IdentitiesVisualising Solid ShapesMensurationExponents and PowersDirect and Inverse ProportionsFactorisationPlaying with Numbers

Exercise 14.4

## 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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