NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Exercise 14.4

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NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Exercise 14.4 is provided in the article below. Exercise 14.4 of Chapter 14 Factorisation broadly discusses questions based on finding errors. Certain important points to remember can be summarised as follows:

Using brackets while substituting negative values in an algebraic expression.
Multiplying a constant or variable with each term individually in an expression in brackets (wherever applicable)
Each factor and the numerical coefficient are to be squared separately while squaring a monomial
Each term in the polynomial (numerator) is to be divided with the monomial in the denominator when dividing a polynomial by a monomial

Download PDF of NCERT Solutions for Class 8 Chapter 14 Factorisation Exercise 14.4

Check other exercise solutions of Class 8 Maths Chapter 14 Factorisation

Exercise 14.1 Solutions

Exercise 14.2 Solutions

Exercise 14.3 Solutions

Example From Chapter 14 Factorisation

Ques. Factorise the following algebraic expression: x⁸ – y⁸

Soln: x⁸ – y⁸

={(x⁴)² - (y⁴)²}

= (x⁴ - y⁴) (x⁴ + y⁴)

= {(x²)² – (y²)²}(x⁴ + y⁴)

= (x² – y²)(x² + y²)(x⁴ + y⁴)

= (x – y)(x + y)(x² + y²) (x⁴ + y⁴)

= (x – y)(x + y)(x² + y²){(x²)² +(y²)² + 2x²y² – 2x²y²}

= (x – y )( x + y)(x² + y²){(x² + y²)² –( 2xy)²}

= (x – y)( x + y)(x² +y²)(x² + y² - 2xy)(x² + y² + 2xy)

Also Check

Class 8 Chapter 14 Factorisation
Polynomial Division	Types of Polynomials	Remainder
Multiplying Monomial by Polynomial	Algebraic Identities	Factors

Also Check

CBSE Class 8 Maths Study Guide
NCERT Solutions for Class 8 Maths	Maths Study Notes	Maths MCQs
Maths Formula	Common Factors	Factorisation MCQ
Degree of a Polynomial	Factorisation of Polynomials	Division
Algebraic Expressions and Identities MCQ	Polynomial Important Notes	Algebra