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# RD Sharma solutions for Class 9 Mathematics chapter 4 - Algebraic Identities

## Chapter 4 : Algebraic Identities

#### Pages 0 - 7

Evaluate the following using identities:

(2x+ 1/x)^2

Evaluate the following using identities:

(2x + y) (2x − y)

Evaluate the following using identities:

(a^2b - b^2a)^2

Evaluate following using identities:

(a - 0.1) (a + 0.1)

Evaluate the following using identities:

(1.5x− 0.3y2) (1.5x+ 0.3y2)

Evaluate the following using identities:

(399)2

Evaluate the following using identities:

(399)2

Evaluate the following using identities:

(0.98)2

Evaluate following using identities:

991 ☓ 1009

Evaluate the following using identities:

117 x 83

Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25

Simplify the following:

322 x 322 - 2 x 322 x 22 + 22 x 22

Simplify the following:

0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24

if x + 1/x = 11, find the value of x^2 + 1/x^2

Simplify the following

(7.83 + 7.83 - 1.17 xx 1.17)/6.66

If x - 1/x = -1, find the value of x^2 + 1/x^2

If x + 1/x = sqrt5, find the value of x^2 + 1/x^2 and x^4 + 1/x^4

If x^2 + 1/x^2 = 66, find the value of x - 1/x

if x^2 + 1/x^2 = 79 Find the value of x + 1/x

If 9x2 + 25y2 = 181 and xy = −6, find the value of 3x + 5y

If 2x + 3y = 8 and xy = 2 find the value of 4x^2 + 9y^2

If 3x - 7y = 10 and xy = -1, find the value of 9x^2 + 49y^2

Simplify the following products:

(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)

Simplify the following products:

(m + n/7)^3 (m - n/7)

Simplify the following products:

(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x

Simplify the following products:

(x^2 + x - 2)(x^2 - x + 2)

Simplify the following products:

(x^3 - 3x^2 - x)(x^2 - 3x + 1)

Simplify the following products:

[2x^2 - 4x^2 + 1][2x^4 - 4x^2 - 1]

Prove that a2 + b2 + c2 − ab − bc − ca is always non-negative for all values of a, b and c

#### Page 0

Write in the expanded form:

(a + 2b + c)^2

Write in the expanded form:

(2a - 3b - c)2

Write the expanded form:

(-3x + y + z)^2

Write in the expanded form:

(m + 2n - 5p)^2

Evaluate the following using identities:

(2 + x - 2y)^2

Write in the expanded form (a2 + b2 + c2 )2

Write in the expanded form: (ab + bc + ca)2

Write in the expanded form: (x/y + y/z + z/x)^2

Write in the expanded form:

(a/(bc) + b/(ca) + c/(ab))^2

Write in the expanded form: (x + 2y + 4z)^2

Write in the expand form: (2x - y + z)^2

Write in the expanded form: (-2x + 3y + 2z)2

Simplify (2x + p - c)^2 - (2x - p + c)^2

Simplify (a + b + c)^2 + (a - b + c)^2

Simplify: (a + b + c)^2 - (a - b + c)^2

Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2

Simplify (2x + p - c)2 - (2x - p + c)2

Simplify (x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2

If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.

If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.

If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.

Find the value of 4x2 + y2 + 25z2 + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.

Simplify the expression:

(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2

Simplify the following expressions:

(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy

Simplify the following expressions:

(x^2 - x + 1)^2 - (x^2 + x + 1)^2

## RD Sharma solutions for Class 9 Mathematics chapter 4 - Algebraic Identities

RD Sharma solutions for Class 9 Maths chapter 4 (Algebraic Identities) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 9 by R D Sharma (2018-19 Session) solutions in a manner that help students grasp basic concepts better and faster.

Further, we at shaalaa.com are providing such solutions so that students can prepare for written exams. RD Sharma textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 9 Mathematics chapter 4 Algebraic Identities are Algebraic Identities.

Using RD Sharma Class 9 solutions Algebraic Identities exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in RD Sharma Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 9 prefer RD Sharma Textbook Solutions to score more in exam.

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