RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions students will learn about the Factorization of Algebraic Expressions but by applying the formulae for the cube of a binomial. In the attached PDF, students can practice with several types of questions. The PDF is prepared by the professionals from CBSE Maths Book.

But before start practicing the questions with Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions, students are advised to by-heart the formulas of Algebraic Expression that help to solve questions more conveniently in a short period of time. Go through the article to know the important definitions and expanded form of the formulas of the Excercise 5.3 of Chapter 5 Class 9.

**Learn about RD Sharma Chapter 5 (Factorization of Algebraic Expression) Class 9**

Table of Contents

## Download RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions PDF

Class 9 Maths Chapter 5 Factorization of Algebraic Expressions Exercise 5.3

## Important Definitions RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions

Check out the formulas below based on the Factorization of Algebraic Expressions by using for the cube of a binomial.

- (x + y)
^{3}= x^{3}+ y^{3}+ 3x^{2}y + 3xy^{2} - (x – y)
^{3 }= x^{3}− y^{3}− 3x^{2}y + 3xy^{2}

Have a look at the examples based on the above formulas-

**Ques- 64a ^{3} + 125b^{3} + 240a^{2}b + 300ab^{2}**

**Solution:**

64a^{3} + 125b^{3} + 240a^{2}b + 300ab^{2 }

Algebraic Identity- x^{3} + y^{3} + 3xy (x + y) = (x + y)^{3}

= (4a)^{3} + (5b)^{ 3 }+ 3(4a)^{2 }(5b) + 3(4a)(5b)^{2}

= (4a+5b)^{3}

Therefore, 64a^{3} + 125b^{3} + 240a^{2}b + 300ab^{2 }= (4a+5b)^{3}

**Ques- 125x ^{3}**

**− 27y**

^{3}**− 225x**

^{2}y + 135xy^{2}**Solution:**

=125x^{3} − 27y^{3} − 225x^{2}y + 135xy^{2}

Algebraic Identity- x^{3} − y^{3} − 3x^{2}y + 3xy^{2 }= (x – y)^{3}

= (5x)^{3}− (3y)^{3 }− 3(5x)^{2 }(3y) + 3(5x) (3y)^{2}

= (5x − 3y)^{3}

= (5x − 3y) (5x − 3y) (5x − 3y)

Therefore, 125x^{3 }− 27y^{3} − 225x^{2}y + 135xy^{2} = (5x − 3y)^{3}

### Benefits of RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions

The questions mentioned in the PDF will help to score well in the exam because the explanation of each problem is given in a stepwise expanded form, which is easily understandable. The problems are mainly taken from the book RD Sharma and the NCERT Class 9 Mathematics Book.

There are many questions with a complete explanation based on the Factorization of Algebraic Expressions by applying the formulae for the cube of a binomial (mentioned in this article). Students will learn various tips and tricks, which help them solve the problems fast in the examination.

### Frequently Asked Questions (FAQs) of RD Sharma Chapter 5 Class 9 Maths Exercise 5.3 Solutions

Ques 1- What are the formulas used for the Factorization of Algebraic Expressions for the cube of a binomial?

Ans- The formulas used for solving the Factorization of Algebraic Expressions for the cube of a binomial are-

- (x + y)
^{3}= x^{3}+ y^{3}+ 3x^{2}y + 3xy^{2} - (x – y)
^{3 }= x^{3}− y^{3}− 3x^{2}y + 3xy^{2}

Ques 2- Does PDF contains the stepwise explanation of each question?

Ans- Yes, the PDF attached to this article contains the stepwise explanation for each question given. Also, the tips and tricks to solve the problems in a limited time.